Device and system for phase conjugate conversion and wavelength conversion

ABSTRACT

The device according to the present invention relates to phase conjugate conversion and wavelength conversion. This device includes a polarization beam splitter and a polarization maintaining fiber (PMF). The polarization beam splitter has first, second, and third ports. The first port is supplied with signal light including first and second polarization components respectively having first and second polarization planes orthogonal to each other, and with pump light. The first and second ports are coupled by the first polarization plane, and the first and third ports are coupled by the second polarization plane. The PMF has first and second ends, and has a polarization mode to be maintained between the first and second ends. The first end is optically connected to the second port so that the first polarization plane is adapted to the polarization mode, and the second end is optically connected to the third port so that the second polarization plane is adapted to the polarization mode. Converted light generated by four-wave mixing based on the signal light and the pump light in the PMF is output from the first port, so that the converted light can be taken out by an optical circulator.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to a device and system for phase conjugateconversion and wavelength conversion.

2. Description of the Related Art

Owing to recent developments of low-loss silica optical fibers, variousoptical fiber communication systems each using such an optical fiber asa transmission line have been put to practical use. The optical fiberitself has a very wide band. However, a transmission capacity by theoptical fiber is actually limited by a system design. The most importantlimitation is due to waveform distortion by chromatic dispersionoccurring in the optical fiber. Further, the optical fiber attenuates anoptical signal at a rate of about 0.2 dB/km, for example. Loss of theoptical signal due to this attenuation has been compensated for byadopting an optical amplifier such as an erbium doped fiber amplifier(EDFA) that is a typical example.

The chromatic dispersion that is often referred to simply as dispersionis a phenomenon such that the group velocity of an optical signal in anoptical fiber changes as a function of the wavelength (frequency) of theoptical signal. In a standard single-mode fiber, for example, an opticalsignal having a longer wavelength propagates faster than an opticalsignal having a shorter wavelength in a wavelength region shorter than1.3 μm, and the resultant dispersion is usually referred to as normaldispersion. In contrast, an optical signal having a shorter wavelengthpropagates faster than an optical signal having a longer wavelength in awavelength region longer than 1.3 μm, and the resultant dispersion isusually referred to as anomalous dispersion.

In recent years, the nonlinearities of an optical fiber have receivedattention in association with an increase in optical signal power due tothe use of an EDFA. The most serious nonlinearity that limits atransmission capacity is an optical Kerr effect occurring in an opticalfiber. The optical Kerr effect is a phenomenon such that the refractiveindex of an optical fiber changes with the intensity of an opticalsignal. A change in the refractive index modulates the phase of anoptical signal propagating in an optical fiber, resulting in theoccurrence of frequency chirping which changes a signal spectrum. Thisphenomenon is known as self-phase modulation (SPM). Spectral broadeningdue to SPM occurs to cause further enlargement of the waveformdistortion due to chromatic dispersion.

In this manner, the chromatic dispersion and the optical Kerr effectimpart waveform distortion to an optical signal with an increase intransmission distance. Accordingly, to allow long-haul transmission byan optical fiber, the chromatic dispersion and the nonlinearity must becontrolled, compensated, or suppressed.

As a technique for controlling the chromatic dispersion and thenonlinearity, the use of a regenerative repeater including an electroniccircuit for a main signal is known. For example, a plurality ofregenerative repeaters are arranged along a transmission line. Eachregenerative repeater performs opto/electric conversion, regeneration,and electro/optic conversion in this order before the waveformdistortion of an optical signal becomes excessive. However, this methodhas a problem that the regenerative repeater required is expensive andcomplicated, and that the electronic circuit included in theregenerative repeater limits the bit rate of a main signal.

As a technique for compensating for the chromatic dispersion and thenonlinearity, optical soliton is known. An optical signal pulse havingan amplitude, pulse width, and peak power each accurately specified withrespect to a given anomalous dispersion is generated, thereby balancingpulse compression due to both SPM induced by the optical Kerr effect andthe anomalous dispersion and pulse broadening due to dispersion, so thatan optical soliton propagates as maintaining its waveform.

As another technique for compensating for the chromatic dispersion andthe nonlinearity, the application of optical phase conjugation is known.For example, a method for compensating for the chromatic dispersion of atransmission line has been proposed by Yariv et al. (A. Yariv, O.Fekete, and D. M. Pepper, “Compensation for channel dispersion bynonlinear optical phase conjugation” Opt. Lett., vol. 4, pp. 52-54,1979). An optical signal is converted into phase conjugate light at themidpoint of a transmission line, and the waveform distortion due tochromatic dispersion in the front half of the transmission line iscompensated by the waveform distortion due to chromatic dispersion inthe rear half of the transmission line.

In particular, if the causes of phase fluctuations of electric fields attwo points are identical with each other, and an environmental changeinducing these causes is gentle during a light propagation time betweenthe two points, the phase fluctuations can be compensated by locating aphase conjugator (phase conjugate light generator) at the midpointbetween the two points (S. Watanabe, “Compensation of phase fluctuationin a transmission line by optical conjugation” Opt. Lett., vol. 17, pp.1355-1357, 1992). Accordingly, the waveform distortion due to SPM canalso be compensated by adopting the phase conjugator. However, in thecase that the optical power distributions on the upstream and downstreamsides of the phase conjugator are asymmetrical with respect thereto, thecompensation for nonlinearity becomes incomplete.

The present inventor has proposed a technique for overcoming theincompleteness of the compensation due to the asymmetry of opticalpowers in the case of using a phase conjugator (S. Watanabe and M.Shirasaki, “Exact compensation for both chromatic dispersion and Kerreffect in a transmission fiber using optical phase conjugation” J.Lightwave Technol., vol. 14, pp. 243-248, 1996). The phase conjugator islocated in the vicinity of a point on a transmission line such that atotal dispersion or total nonlinear effect in a portion of thetransmission line upstream of this point is equal to that in a portionof the transmission line downstream of this point, and variousparameters are set in each minute section of the upstream and downstreamportions.

By using a third-order nonlinear optical medium such as an optical fiberand a semiconductor optical amplifier, phase conjugate light can begenerated by nondegenerate four-wave mixing. When signal light having anangular frequency ω_(S) and pump light having an angular frequency ω_(P)(ω_(P)≠ω_(S)) are supplied to the nonlinear optical medium, phaseconjugate light (converted signal light) having an angular frequency2ω_(P)−ω_(S) is generated by four-wave mixing based on the signal lightand the pump light in the nonlinear optical medium, and this phaseconjugate light is output together with the signal light and the pumplight from the nonlinear optical medium.

The above term of “nondegenerate” used herein means that the wavelengthof the signal light and the wavelength of the pump light are differentfrom each other. Since the wavelength of the signal light, thewavelength of the pump light, and the wavelength (angular frequency) ofthe phase conjugate light satisfy the above-mentioned relation,wavelength conversion is performed simultaneously with the generation ofthe phase conjugate light.

The efficiency of conversion from the signal light to the phaseconjugate light depends on the consistency of the polarization planes ofthe signal light and the pump light. However, since a general opticalfiber transmission line has no capability of maintaining a polarizationplane, the polarization state of the signal light to be converted varieswith time. Accordingly, it is required that a device for phase conjugateconversion and wavelength conversion has no polarization dependence. Thewording of “no polarization dependence” used herein means that theconversion efficiency is substantially constant irrespective of thepolarization state of the signal light to be converted.

In the case that the device for phase conjugate conversion andwavelength conversion is applied to WDM (wavelength divisionmultiplexing), a sufficiently broad conversion band is required toincrease the number of channels that can be subjected to simultaneousconversion. The conversion band is defined as a maximum detuningwavelength (or detuning frequency) between pump light and signal lightunder the condition that phase conjugate light having a certain powercan be obtained.

SUMMARY OF THE INVENTION

It is therefore an object of the present invention to provide a devicefor phase conjugate conversion and wavelength conversion, having nopolarization dependence, and a system including the device.

It is another object of the present invention to provide a device forphase conjugate conversion and wavelength conversion, having a broadconversion band, and a system including the device.

In accordance with an aspect of the present invention, there is provideda device comprising an optical circulator, a polarization beam splitter,and a polarization maintaining fiber. The optical circulator has first,second, and third ports. The first port is supplied with signal lightincluding first and second polarization components respectively havingfirst and second polarization planes orthogonal to each other, and withpump light. The polarization beam splitter has fourth, fifth, and sixthports. The fourth port is optically connected to the second port. Thefourth and fifth ports are coupled by the first polarization plane, andthe fourth and sixth ports are coupled by the second polarization plane.The polarization maintaining fiber has first and second ends, and has apolarization mode to be maintained between the first and second ends.The first end is optically connected to the fifth port so that the firstpolarization plane is adapted to the polarization mode, and the secondend is optically connected to the sixth port so that the secondpolarization plane is adapted to the polarization mode.

The polarization maintaining fiber has first and second principal axesorthogonal to each other, for example. In this case, the polarizationmode corresponds to one of the first and second principal axes. Thepresent inventor has found that the zero-dispersion wavelength in themode corresponding to the first principal axis is different from thezero-dispersion wavelength in the mode corresponding to the secondprincipal axis.

The polarization maintaining fiber has a substantially constantzero-dispersion wavelength in relation to the polarization mode, forexample. In this case, the pump light has a wavelength substantiallyequal to the zero-dispersion wavelength.

Broadening the conversion band of this device depends on the consistencybetween the wavelength of the pump light and the zero-dispersionwavelength of the polarization maintaining fiber.

In this device, the first polarization component of the signal lightpropagates in the polarization maintaining fiber from the first end tothe second end, whereas the second polarization component of the signallight propagates in the polarization maintaining fiber from the secondend to the first end. Furthermore, each of the first and secondpolarization components is adapted to the polarization mode of thepolarization maintaining fiber. Accordingly, the consistency between thepump light wavelength and the zero-dispersion wavelength can be obtainedwith high accuracy, thereby broadening the conversion band in theconversion from the signal light to the converted signal light (phaseconjugate light).

Further, so-called polarization diversity is carried out in relation tothe conversion from the signal light to the converted signal light bothin the direction where the first polarization component of the signallight and a part of the pump light propagate in the polarizationmaintaining fiber from the first end to the second end and in thedirection where the second polarization component of the signal lightand a part of the remaining pump light propagate in the polarizationmaintaining fiber from the second end to the first end. Accordingly, theefficiency of conversion from the signal light to the converted signallight is hardly dependent on the polarization state of the signal lightsupplied.

The device according to the present invention may be provided by thecombination of the polarization beam splitter and the polarizationmaintaining fiber without the optical circulator.

In accordance with another aspect of the present invention, there isprovided another device for phase conjugate conversion and wavelengthconversion. This device comprises first and second optical circulators,a polarization beam splitter, and a polarization maintaining fiber. Thefirst optical circulator has first, second, and third ports. The firstport is supplied with first signal light including first and secondpolarization components respectively having first and secondpolarization planes orthogonal to each other, and with first pump light.The second optical circulator has fourth, fifth, and sixth ports. Thefourth port is supplied with second signal light including third andfourth polarization components respectively having third and fourthpolarization planes orthogonal to each other, and with second pumplight. The polarization beam splitter has seventh, eighth, ninth, andtenth ports. The seventh port is optically connected to the second port,and the tenth port is optically connected to the fifth port. The seventhand eighth ports are coupled by the first polarization plane. Theseventh and ninth ports are coupled by the second polarization plane.The ninth and tenth ports are coupled by the third polarization plane.The eighth and tenth ports are coupled by the fourth polarization plane.The polarization maintaining fiber has first and second ends, and hasfirst and second polarization modes to be maintained between the firstand second ends. The first end is optically connected to the seventhport so that the first and fourth polarization planes are respectivelyadapted to the first and second polarization modes. The second end isoptically connected to the eighth port so that the second and thirdpolarization planes are respectively adapted to the first and secondpolarization modes.

With this configuration, the two optical circulators are used inconsideration of the symmetry in the polarization beam splitter and thepolarization maintaining fiber. Accordingly, bidirectionality in theconversion from the signal light to the converted signal light can beensured.

In accordance with a further aspect of the present invention, there isprovided a system comprising first and second optical fiber networkseach adapted to wavelength division multiplexing, and a converterconnected between the first and second optical fiber networks. Theconverter is provided by the device according to the first or secondaspect of the present invention mentioned above. The converter mayinclude a pumping source for outputting pump light.

The conversion band in the conversion from the signal light to theconverted signal light in the converter is broadened according to thepresent invention. Accordingly, by combining the present invention withwavelength division multiplexing, a flexible system can be constructed.

The above and other objects, features and advantages of the presentinvention and the manner of realizing them will become more apparent,and the invention itself will best be understood from a study of thefollowing description and appended claims with reference to the attacheddrawings showing some preferred embodiments of the invention.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a diagram showing a first preferred embodiment of the deviceaccording to the present invention;

FIG. 2 is a block diagram for illustrating the operation principle ofthe device according to the present invention;

FIG. 3 is a diagram for illustrating the polarization mode of a PMF(polarization maintaining fiber);

FIG. 4 is a diagram showing a second preferred embodiment of the deviceaccording to the present invention;

FIG. 5 is a block diagram showing a first preferred embodiment of thesystem according to the present invention;

FIG. 6 is a diagram showing an example of a manufacturing process for anonlinear optical medium;

FIG. 7 is a diagram showing a third preferred embodiment of the deviceaccording to the present invention;

FIG. 8 is a block diagram for illustrating the basic principle of aphotonic network.

FIG. 9 is a diagram for illustrating the principle of compensation inFIG. 8;

FIG. 10 is a diagram for illustrating simultaneous conversion of WDMsignal light;

FIG. 11 is a block diagram showing a second preferred embodiment of thesystem according to the present invention;

FIG. 12 is a diagram showing an example of setting of the wavelengthbands in the system according to the present invention;

FIG. 13 is a diagram showing another example of setting of thewavelength bands in the system according to the present invention;

FIG. 14 is a diagram showing an example of dispersion allocation in thesystem according to the present invention;

FIG. 15 is a diagram showing still another example of setting of thewavelength bands in the system according to the present invention;

FIG. 16 is a diagram for illustrating a four-wave mixer;

FIG. 17 is a block diagram showing a third preferred embodiment of thesystem according to the present invention;

FIG. 18 is a block diagram showing a fourth preferred embodiment of thesystem according to the present invention;

FIG. 19 is a block diagram showing a fifth preferred embodiment of thesystem according to the present invention;

FIG. 20 is a block diagram showing a sixth preferred embodiment of thesystem according to the present invention;

FIG. 21 is a block diagram showing a seventh preferred embodiment of thesystem according to the present invention;

FIG. 22 is a block diagram showing an eighth preferred embodiment of thesystem according to the present invention; and

FIG. 23 is a block diagram showing a ninth preferred embodiment of thesystem according to the present invention.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

Some preferred embodiments of the present invention will now bedescribed in detail with reference to the attached drawings.

Let us consider the case where an optical pulse propagates in adispersive medium. In the case that the dispersive medium is a normaldispersive medium (∂²β/∂ω²>0), the frequency of an unchirped pulsepropagating in the dispersive medium is shifted to lower frequenciesnear the leading edge of the pulse, and is shifted to higher frequenciesnear the trailing edge of the pulse. In the case that the dispersivemedium is an anomalous dispersive medium (∂²β/∂ω²<0), the frequency ofan unchirped pulse is shifted to higher frequencies near the leadingedge of the pulse, and is shifted to lower frequencies near the trailingedge of the pulse. In the above expressions, β and ω denote thepropagation constant and the angular frequency of light, respectively.In the normal dispersive medium, the longer the wavelength of the pulse,the higher the group velocity, whereas in the anomalous dispersivemedium, the shorter the wavelength of the pulse, the higher the groupvelocity, so that in any case the pulse width is broadened.

On the other hand, the refractive index of the dispersive medium ischanged by the optical Kerr effect in the case that the intensity oflight is large, by the following amount.Δn(t)=n ₂ |E(t)|²where n₂ is the nonlinear refractive index. For a normal silica fiber,this value is about 3.2×10⁻²⁰ m²/W. When an optical pulse undergoes theoptical Kerr effect in a nonlinear medium, the spectrum of the opticalpulse is broadened (chirped) by the following amount. $\begin{matrix}{{\Delta\quad\omega\quad(t)} = {{- {\partial{\Delta\phi}}}\quad{(t)/{\partial\quad t}}}} \\{= {{- \left( {2\pi\quad{n_{2}/\lambda}} \right)}\left( {{\partial{{E(t)}}^{2}}/{\partial\quad t}} \right)\Delta\quad z}}\end{matrix}$where Δz is the interaction length.

This phenomenon is generally referred to as self-phase modulation (SPM).The SPM causes frequency shift of an optical pulse to lower frequenciesnear the leading edge of the pulse and frequency shift of the pulse tohigher frequencies near the trailing edge of the pulse. Such chirpingdue to the SPM makes the influence of dispersion more remarkable, and asa result the distortion of the pulse becomes more remarkable.Accordingly, when an optical pulse undergoes the optical Kerr effect ina normal dispersive medium, spectral broadening of the pulse is greaterthan in the case of chromatic dispersion only, whereas when an opticalpulse undergoes the optical Kerr effect in an anomalous dispersivemedium, pulse compression occurs.

Thus, in consideration of the effect of chromatic dispersion asmentioned above, large pulse broadening occurs in the case of a normaldispersive medium, whereas a larger one of the effects of pulsebroadening due to chromatic dispersion and pulse compression due to SPMappears in the case of an anomalous dispersive medium. Balancing thesetwo effects is achieved by optical soliton.

It is generally prone to be considered that a higher signal-to-noiseratio (SNR) can be conveniently maintained by applying pulse compressiondue to SPM in an anomalous dispersive medium. However, it can be saidthat the application of pulse compression is not always preferable,because transmission with high-level optical power has recently beenallowed by using an optical amplifier, and a relatively small chromaticdispersion has recently been implementable by the development of adispersion shifted fiber.

In other words, the effect of pulse compression may become excessive tocause large waveform distortion. Particularly in the case of NRZ pulse,pulse compression occurs concentrically near the leading edge and thetrailing edge of the pulse, causing a rapid waveform change. In anextreme case, the trailing edge may precede the leading edge to causesplitting of the pulse into three portions. Further, in the case ofoptical amplifier repeated long-haul transmission, there is a problemsuch that four-wave mixing occurs between signal light and amplifiedspontaneous emission in an optical amplifier generated by the signallight as pump light, causing a remarkable reduction in SNR (modulationinstability).

The distortion of an optical pulse due to chromatic dispersion andnonlinearity as mentioned above can be compensated by applying phaseconjugate optics. For example, a signal light beam transmitted by afirst optical fiber transmission line is converted into a phaseconjugate light beam by a phase conjugator, and the phase conjugatelight beam is transmitted by a second optical fiber transmission line.By properly setting parameters related to chromatic dispersion andnonlinearity in the first and second optical fiber transmission lines, asubstantially distortionless optical pulse can be obtained at an outputend of the second optical fiber transmission line.

However, the efficiency of conversion from the signal light beam to thephase conjugate light beam in the phase conjugator is generallydependent on the polarization state of the signal light beam, so that aphase conjugator having a polarization-independent conversion efficiencyis desired.

Such a phase conjugator having a polarization-independent conversionefficiency can be configured by applying a polarization scramblingmethod, polarization diversity method, or polarization active controlmethod. Further, also by using a polarization maintaining fiber (PMF) asan optical fiber transmission line, the polarization dependence of theconversion efficiency in the phase conjugator can be eliminated. In thepresent invention, the polarization diversity method is adopted toeliminate the polarization dependence of the conversion efficiency.

FIG. 1 is a diagram showing a first preferred embodiment of the deviceaccording to the present invention. The device shown in FIG. 1 includesan input port 2, pumping source 4, optical coupler 6, optical circulator8, polarization beam splitter 10, polarization maintaining fiber (PMF)12, optical band-pass filter 14, and output port 16. The configurationand operation of this device will be hereinafter described in detail.

FIG. 2 is a block diagram for illustrating the operation principle ofthe device according to the present invention. In the first process ofpolarization separation, signal light E_(S) is separated into twopolarization components E_(S)(#1) and E_(S)(#2). The polarizationcomponents E_(S)(#1) and E_(S)(#2) have polarization planes orthogonalto each other. In the next process of conversion, the polarizationcomponents E_(S)(#1) and E_(S)(#2) are converted into phase conjugatelights E_(S)(#l) and E_(C)(#2), respectively. The polarization planes ofthe phase conjugate lights E_(C)(#l) and E_(C)(#2) coincide with thepolarization planes of the polarization components E_(S)(#1) andE_(S)(#2), respectively. In the last process of polarization combining,the phase conjugate lights E_(C)(#1) and E_(C)(#2) are combined toobtain phase conjugate light (converted signal light) E_(C).

In the device shown in FIG. 1, the above processes of polarizationseparation and polarization combining are carried out in thepolarization beam splitter 10, and the above process of conversion iscarried out in the PMF 12 as a nonlinear optical medium.

FIG. 3 is a diagram for illustrating the polarization mode of the PMF12. The PMF 12 is composed of a core 18 having a relatively highrefractive index, a cladding 20 having a relatively low refractiveindex, for covering the core 18, and a pair of stress regions 22provided in the cladding 20 on the opposite sides of the core 18. In thecross section of the PMF 12, the line passing through the centers of thecore 18 and the stress regions 22 is defined as an X axis, and the linepassing through the center of the core 18 and orthogonal to the X axisis defined as a Y axis. Each of the X axis and the Y axis is referred toas a principal axis. The propagation constant of a polarizationcomponent having a polarization plane parallel to the X axis is largelydifferent from the propagation constant of a polarization componenthaving a polarization plane parallel to the Y axis, so that eachpolarization component can maintain its polarization state duringpropagation in the PMF 12.

According to the measurement by the present inventor, it has been foundthat the zero-dispersion wavelength for the polarization componenthaving the polarization plane parallel to the X axis is different fromthe zero-dispersion wavelength for the polarization component having thepolarization plane parallel to the Y axis.

Accordingly, in the case of performing polarization diversity for onechannel by using the two principal axes (the X axis and the Y axis) ofthe PMF 12, the conversion band cannot be broadened because of thedifference in zero-dispersion wavelength.

In the present invention, one of the two principal axes is used as thepolarization mode to perform polarization diversity, so that theconversion band can be broadened. This will now be described morespecifically.

Referring to FIG. 1, signal light E_(S) (wavelength λ_(S)) to beconverted is supplied to the input port 2. The pumping source 4 outputspump light E_(P) (wavelength λ_(P)). The pumping source 4 may beprovided by a laser diode, for example. In this case, the pump lightE_(P) is a substantially linearly polarized wave, and its polarizationplane is set as will be hereinafter described. The polarization state ofthe signal light E_(S) is arbitrary.

The signal light E_(S) and the pump light E_(P) are multiplexed orcombined by the optical coupler 6, and supplied to a port 8A of theoptical circulator 8. The optical circulator 8 functions so as to outputlight supplied to the port 8A from a port 8B, output light supplied tothe port 8B from a port 8C, and output light supplied to the port 8Cfrom the port 8A. The last function is not used in this preferredembodiment.

The polarization beam splitter 10 has ports 10A, 10B, and 10C. The port10A is optically connected to the port 8B of the optical circulator 8.The ports 10A and 10B are coupled by a TM component (first polarizationcomponent) having a first polarization plane perpendicular to the sheetplane of FIG. 1, and the ports 10A and 10C are coupled by a TE component(second polarization component) having a second polarization planeparallel to the sheet plane of FIG. 1.

The opposite ends of the PMF 12 are optically connected to the ports 10Band 10C of the polarization beam splitter 10. For the convenience ofdescription, the polarization mode to be maintained by the PMF 12 isgiven by the Y axis shown in FIG. 3. At the port 10B, the firstpolarization plane perpendicular to the sheet plane of FIG. 1 is adaptedto the polarization mode of the PMF 12, and at the port 10C, the secondpolarization plane parallel to the sheet plane of FIG. 1 is adapted tothe polarization mode of the PMF 12. In other words, the Y axis of thePMF 12 is perpendicular to the sheet plane of FIG. 1 at the port 10B,and parallel to the sheet plane of FIG. 1 at the port 10C. That is, thePMF 12 is spatially twisted 90° between the ports 10B and 10C.

The signal light and the pump light both supplied to the port 8A of theoptical circulator 8 are output from the port 8B. The output light fromthe port 8B is separated into a TM component and a TE component by thepolarization beam splitter 10. The TM component propagates in the PMF 12from the port 10B to the port 10C, and the TE component propagates inthe PMF 12 from the port 10C to the port 10B. The TM component initiallyhas a polarization plane perpendicular to the sheet plane of FIG. 1 atthe time of output from the port 10B. During propagation in the PMF 12,the polarization plane of the TM component is rotated 90° to becomeparallel to the sheet plane of FIG. 1 at the port 10C. Accordingly, theTM component having propagated in the PMF 12 clockwise as viewed in FIG.1 is transmitted from the port 10C to the port 10A. On the other hand,the TE component initially has a polarization plane parallel to thesheet plane of FIG. 1 at the time of output from the port 10C. Duringpropagation in the PMF 12, the polarization plane of the TE component isrotated 90° to become perpendicular to the sheet plane of FIG. 1 at theport 10B. Accordingly, the TE component having propagated in the PMF 12counterclockwise as viewed in FIG. 1 is transmitted from the port 10B tothe port 10A.

Thus, the TM component and the TE component are combined in thepolarization beam splitter 10, and output from the port 10A. The outputlight from the port 10A is supplied to the port 8B of the opticalcirculator 8, and output from the port 8C. The output light from theport 8C is passed through the optical band-pass filter 14, and outputfrom the output port 16.

The output light from the port 10A of the polarization beam splitter 10as the result of combination of the TM and TE components include notonly the signal light and the pump light, but also phase conjugate light(converted signal light) E_(C) (wavelength λ_(C)) newly generated in thePMF 12. That is, a part of the signal light is converted into phaseconjugate light by the four-wave mixing based on the signal light andthe pump light in the PMF 12. The wavelengths λ_(S), λ_(P), and λ_(C)satisfy the above-mentioned relation, and they are therefore differentfrom each other. Accordingly, the phase conjugate light is extracted bythe optical band-pass filter 14. That is, the optical band-pass filter14 has a passband including the wavelength λ_(C) and excluding thewavelengths λ_(S) and λ_(P).

As mentioned above, the polarization mode corresponding to one (the Yaxis) of the principal axes of the PMF 12 is used, so that thewavelength of the pump light can be made accurately coincident with thezero-dispersion wavelength related to the Y axis of the PMF 12, therebybroadening the conversion band. As compared with the prior art whereinthe conversion bandwidth is about 40 nm at most, the present inventioncan broaden the conversion bandwidth up to about 100 nm.

In the case that a laser diode is used as the pumping source 4, the pumplight is given as a substantially linearly polarized wave. In this case,the polarization plane of the pump light is set so that the efficiencyof conversion from the signal light to the phase conjugate light is notdependent on the polarization state of the signal light. Morespecifically, the polarization plane of the pump light may be set so asto be inclined 45° with respect to the sheet plane of FIG. 1 at the port10A of the polarization beam splitter 10, in order that the ratio ofdistribution of the pump light to the TM component and the TE componentbecomes 1:1.

Thus, the device according to the present invention adopts polarizationdiversity, thereby enabling the provision of a polarization-independentconverter.

FIG. 4 is a diagram showing a second preferred embodiment of the deviceaccording to the present invention. In this preferred embodiment, amodulating circuit 24 is connected to the pumping source 4, so as tomodulate or dither the phase or frequency of the pump light to be outputfrom the pumping source 4. To improve the efficiency of occurrence offour-wave mixing in the PMF 12, increasing the power of the pump lightis effective. However, if the power of the pump light is excessivelyincreased, the pump light is undesirably reflected inside the PMF 12because of stimulated Brillouin scattering (SBS). In this preferredembodiment, the occurrence of SBS can be suppressed by modulating ordithering the phase or frequency of the pump light, thereby enabling theprovision of a converter having a high conversion efficiency. Themodulation frequency may be set to hundreds of KHz (e.g., 150 KHz).While direct modulation is applied to the pumping source 4 provided byan LD, for example, in this preferred embodiment, indirect modulationusing an external modulator may be applied.

FIG. 5 is a block diagram showing a first preferred embodiment of thesystem according to the present invention. This preferred embodiment isintended to compensate for waveform distortion due to chromaticdispersion and nonlinear optical Kerr effect in an optical fibertransmission line. To this end, the device shown in FIG. 1 or 4 may beused as a converter (or phase conjugator) PC at the substantiallymidpoint of the optical fiber transmission line. However, the phaseconjugator is not limited by the device shown in FIG. 1 or 4. The phaseconjugator PC is composed of a nonlinear optical medium, a pumping lightsource, and an optical means for supplying signal light to the nonlinearoptical medium along with a pump light generated by the pumping lightsource. The nonlinear optical medium provides a second-order (three wavemixing) or third-order (four wave mixing) nonlinear optical effect. Inthe case of the third-order optical effect, a phase conjugate light isgenerated by a degenerate or non-degenerate four wave mixing in thenonlinear optical medium. Available for a particular nonlinear opticalmedium is an optical semiconductor such as a semiconductor amplifier oftraveling wave type, an organic medium, an optical waveguide usingLiNbO₃ or the like, or a single-mode fiber. Especially, when using asingle-mode fiber, a zero-dispersion wavelength of the single-mode fiberand a wavelength of the pump light are matched to increase a phaseconjugate light generating efficiency. U.S. Pat. No. 5,920,588 disclosesa phase conjugator having a DFB (distributed feed-back) laser as thenonlinear optical medium.

Signal light E_(S) output from a transmitter (TX) is transmitted by afirst optical fiber F1 (length L₁, dispersion D₁, nonlinear coefficientγ₁), and thereafter input into a phase conjugator (PC). The signal lightE_(S) is converted into phase conjugate light E_(C) in the phaseconjugator, and the phase conjugate light E_(C) is then transmitted to areceiver (RX) by a second optical fiber F2 (length L₂, dispersion D₂,nonlinear coefficient γ₂). The receiver has a photodetector forreceiving the phase conjugate light E_(C) to detect the signal. As amodulation method for the signal to be transmitted, various methods suchas optical amplitude (intensity) modulation, frequency modulation, andphase modulation may be applied. The detection of the received signalmay be performed by optical direct detection, optical heterodynedetection, etc. after extracting the phase conjugate light through aband-pass filter.

The optical fiber used in this preferred embodiment is a single-modesilica fiber (SMF) in many cases. Typical examples of the single-modesilica fiber are a 1.3-μm zero-dispersion optical fiber and a 1.55-μmdispersion shifted fiber (DSF).

The signal light may be wavelength division multiplexed (WDM) signallight obtained by wavelength division multiplexing a plurality ofoptical signals having different wavelengths. In this case, by arrangingthe wavelengths of the plural optical signals at unequal intervals alonga wavelength axis, undesirable occurrence of FWM in the optical fibertransmission line can be suppressed to thereby prevent crosstalk (thisapplies similarly to the description with reference to FIG. 10 tofollow).

The compensation for waveform distortion due to chromatic dispersion andself-phase modulation in the optical fiber transmission line of thesystem shown in FIG. 5 can be effected by making equal the magnitudes ofdispersion and nonlinear effect in two corresponding portions of thefirst and second optical fibers F1 and F2 with respect to the phaseconjugator PC. These corresponding portions are defined as two portionswhere the accumulated values of dispersion or optical Kerr effectmeasured from the PC are equal to each other. That is, when the opticalfiber transmission line is virtually divided into a plurality ofsections, the magnitudes of dispersion and nonlinear effect in anysymmetrical ones of the sections with respect to the PC are to be madeequal to each other. This means that the dispersions in the symmetricalsections are to be made equal to each other and that the followingequation is to hold between the symmetrical sections.D ₁/γ₁ P ₁ =D ₂/γ₂ P ₂  (1a)where P₁ and P₂ are the optical powers in the symmetrical sections, andγ₁ and Y₂ are the nonlinear coefficients of optical Kerr effect in theoptical fibers F1 and F2, respectively. The nonlinear coefficient γ_(j)(j=1, 2) is expressed as follows:γ_(j) =ωn _(2j) /cA _(effj)  (2a)where ω is the optical angular frequency, c is the velocity of light inthe vacuum, and n_(2j) and A_(effj) are the nonlinear refractive indexand the effective core area of the optical fiber Fj (j=1, 2),respectively.

The compensation for a decrease in nonlinear effect due to loss alongthe transmission line can be effected by reducing dispersion or byincreasing optical Kerr effect. Changing the dispersion can be made bydesign of an optical fiber, and this method is promising. For example,this method is now widely carried out by changing the zero-dispersionwavelength of a dispersion shifted fiber (DSF) or by changing therelative index difference between the core and the cladding of anoptical fiber or changing the core diameter. On the other hand, changingthe optical Kerr effect can be made by changing the nonlinear refractiveindex or by changing the optical intensity.

The transmission line of the system may be composed of adispersion-decreasing DCF (DD-DCF) having such a structure that thedispersion of a dispersion compensating fiber (DCF) is decreased in itslongitudinal direction in proportion to a change in optical Kerr effect,and a normal dispersive DSF, thereby allowing high-speed, long-haultransmission.

It is known that in long-haul transmission using an optical amplifier,the use of a normal dispersive fiber is effective in reducing nonlineardistortion (modulation instability) due to noise light in the opticalamplifier. Accordingly, the above configuration using a normaldispersive DSF is promising.

In the case that the change in optical Kerr effect is not so large(e.g., in the case that the repeater spacing of optical amplifiers issufficiently shorter than the nonlinear length), the followingapproximation by average power holds in contrast with theabove-mentioned exact compensation method.D ₁ ′L ₁ =D ₂ ′L ₂  (3a)γ₁ P ₁ ′L ₁ =γ ₂ P ₂ ′L ₂  (4a)where P₁′ and P₂′ are the average powers in the optical fibers F1 andF2, respectively, and D₁′ and D₂′ are the average dispersions of theoptical fibers F1 and F2, respectively.

Additionally, although not satisfying the ideal waveform compensationcondition given by Eq. (1a), dispersion compensators may be suitablylocated along the transmission line by location of dispersions havingopposite signs.

This method is effective especially in long-haul transmission such assubmarine transmission. The reason is as follows:

In the compensation using a PC, the waveform distortions in opticalfibers placed on the upstream and downstream sides of the PC may beequalized. The waveform is most distorted on the opposite sides of thePC. Accordingly, the spectrum of an optical pulse is most broadened atthe position of the PC. On the other hand, noises are added from the PCand optical amplifiers in the transmission line, and the broader thespectrum of the optical pulse, the greater the SNR reduction due tothese noises. Accordingly, designing the system so as to suppress thespectral broadening on the opposite sides of the PC is greatly effectivein extending a transmission distance.

In this sense, decreasing a total dispersion of a transmission line bydispersion compensation applied to the transmission line is effective.

The nonlinear coefficient γ of a usual DSF (dispersion shifted fiber) isas small as about 2.6 W⁻¹ km⁻¹. Therefore, to obtain a sufficientconversion efficiency in the case of using such a usual DSF as anonlinear optical medium for generating phase conjugate light, the fiberis required to have a length of 10 km or more. It is accordingly desiredto provide a DSF having a large nonlinear coefficient enough to reducethe fiber length. If the length of a DSF used as a nonlinear opticalmedium for generating phase conjugate light can be reduced, thezero-dispersion wavelength of the DSF can be managed with high accuracy,thereby facilitating exact matching of the wavelength of pump light tothe zero-dispersion wavelength of the DSF. As a result, a broadconversion band can be obtained. The conversion band is defined hereinas a maximum detuning wavelength (detuning frequency) between pump lightand signal light under the condition that phase conjugate light having acertain power is obtained.

In increasing the nonlinear coefficient γ, increasing the nonlinearrefractive index n₂ or decreasing a mode field diameter (MFD)corresponding to the effective core area A_(eff) is effective.Increasing the nonlinear refractive index n₂ can be effected by dopingthe cladding with fluorine or the like or by doping the core with a highconcentration of GeO₂, for example. By doping the core with 25-30 mol %of GeO₂, a large value of 5×10⁻²⁰ m²/W or more is obtained as thenonlinear refractive index n₂ (in comparison, about 3.2×10⁻²⁰ m²/W for anormal silica fiber). Decreasing the MFD can be effected by suitablysetting a relative index difference Δ or by suitably designing the coreshape. Such a DSF can be designed similarly to a DCF (dispersioncompensating fiber). For example, by doping the core with 25-30 mol % ofGeO₂ and setting the relative index difference Δ to 2.5-3.0%, a smallvalue of less than 4 μm is obtained as the MFD. As the total effect, alarge value of 15 W⁻¹km⁻¹ or more is obtained as the nonlinearcoefficient γ.

Another important factor to be considered is that the DSF providing sucha large value as the nonlinear coefficient γ must have a zero-dispersionwavelength included in a pump band. Such consistency between thezero-dispersion wavelength and the pump band can be attained by settingthe fiber parameters (e.g., relative index difference Δ and MFD) in thefollowing manner. When the relative index difference Δ in a normaloptical fiber is increased with the MFD fixed, the dispersion isincreased in a normal dispersive region. The above-mentioned DD-DCF usedfor pre-compensation or post-compensation by a phase conjugator isrealized on such a principle. On the other hand, the larger the corediameter, the smaller the dispersion, while the smaller the corediameter, the larger the dispersion. Accordingly, zero dispersion forpump light can be obtained by first setting the MFD to a certain valueadapted to the pump band and thereafter adjusting the core diameter sothat the zero-dispersion wavelength coincides with a predeterminedwavelength of the pump light.

A conversion efficiency η_(C) in an optical fiber having a length L anda loss α can be approximated by the following equation.η_(C)=exp(−αL)(γP _(P) L)²  (5a)where P_(P) is the average pump light power. Accordingly, as comparedwith a normal DSF having a nonlinear coefficient γ of 2.6 W⁻¹km⁻¹, afiber having a nonlinear coefficient γ of 15 W⁻¹km⁻¹ can achieve thesame conversion efficiency with a length smaller by 2.6/15≈1/5.7. Insuch a normal DSF, a fiber length of about 10 km is required asmentioned above to obtain a sufficiently large conversion efficiency. Tothe contrary, in such a fiber having a large nonlinear coefficient γ asmentioned above, a similar conversion efficiency can be obtained with asmaller length of about 1-2 km. In actual, the loss is also reduced byan amount corresponding to the reduction in the fiber length, so thatthe fiber length can be further reduced to obtain the same conversionefficiency. In such a shorter DSF, the controllability of thezero-dispersion wavelength is improved and therefore the wavelength ofthe pump light can be made to exactly coincide with the zero-dispersionwavelength, thus obtaining a broad conversion band. Furthermore, whenthe fiber length is several kilometers, a polarization plane preservingability is ensured, so that the use of such a shorter DSF is greatlyeffective in achieving a high conversion efficiency and a broadconversion band and in eliminating polarization dependence.

In effectively generating four-wave mixing by using an optical fiber, itis important to match the phases of signal light, pump light, and phaseconjugate light. A phase mismatch quantity Δk can be approximated by thefollowing equation.Δk=δω²β₂(ω_(P))+2γP _(P)  (6a)where β₂(ω_(P)) is the chromatic dispersion at a pump light frequencyω_(P), and δω is the frequency difference between signal light and pumplight. So far as pump light having a specially large power (e.g., 100 mWor more) is not used, the second term in Eq. (6a) is sufficientlysmaller than the first term, and the former is negligible. Accordingly,phase matching (making Δk approach nearly zero) can be obtained bymaking the wavelength of pump light coincide with the zero-dispersionwavelength of the fiber. However, since the zero-dispersion wavelengthof an actual fiber varies along the fiber length, it is not easy tomaintain the phase matching condition over the entire fiber length.

In a device having an optical fiber as a nonlinear optical medium forgenerating phase conjugate light, the conversion band for the phaseconjugate light is limited by the dispersion of the optical fiber.Accordingly, if the dispersion of the optical fiber along its length iscompletely controlled, e.g., if an optical fiber having a uniquezero-dispersion wavelength over the entire fiber length (exactly, thenonlinear length) is produced, a conversion band having a virtuallyinfinite width (a width unlimited in some range where the dispersionslope is linear) can be obtained by matching the pump light wavelengthto the unique zero-dispersion wavelength of the optical fiber. However,the zero-dispersion wavelength of an actual optical fiber varies alongits length because of problems in a manufacturing technique for theoptical fiber, with the result that the phase matching condition isdeviated from the ideal condition, causing limitation of the conversionband.

However, by cutting an optical fiber into a plurality of small sectionsand then connecting, e.g., splicing the small sections in such an orderthat the adjacent ones of the small sections have similarzero-dispersion wavelengths (in an order different from the initialorder counted from an end of the optical fiber), an optical fibersuitable for providing a phase conjugator having a broad conversion bandcan be obtained with the average of chromatic dispersions over theentire fiber length being unchanged.

Alternatively, a broad conversion band can be obtained by preparing aplurality of fibers each having a length (e.g., hundreds of meters orless) allowing dispersion management with a high accuracy so required asto obtain a sufficiently broad conversion band, then combining andsplicing some of the fibers having required zero-dispersion wavelengthsto obtain a fiber having a length required to obtain a requiredconversion efficiency, and providing a phase conjugator by use of thisfiber.

In the case of broadening the conversion band as mentioned above, it iseffective to gather the fiber portions having smaller zero-dispersionwavelengths or having smaller variations in zero-dispersion wavelengthnear a pump light input end of a nonlinear optical medium, because thepower of pump light is higher near the pump light input end. Further,the conversion band can be further broadened by increasing the number offiber sections as required and/or by alternately arranging the positiveand negative signs of dispersion at a portion distant from the pumplight input end and having relatively large dispersions.

In dividing an optical fiber into a plurality of sections as mentionedabove, an index of determining whether or not the length of each sectionis sufficiently small may be based on the nonlinear length. As in thecompensation for nonlinear effect, it can be considered that phasematching in FWM (four-wave mixing) in a fiber having a lengthsufficiently smaller than the nonlinear length is dependent on theaverage dispersion of the fiber. As an example, in FWM using a pumplight power of about 30 mW in a fiber having a nonlinear coefficient γof 2.6 W⁻¹km⁻¹, the nonlinear length becomes about 12.8 km, so that theabove-mentioned index is equal to about 1/10 of this length, i.e., about1 km. As another example, in FWM using a pump light power of about 30 mWin a fiber having a nonlinear coefficient γ of 15 W⁻¹km⁻¹, the nonlinearlength becomes about 2.2 km, so that the above-mentioned index is equalto about 1/10 of this length, i.e., about 200 m. In any case, bymeasuring the average zero-dispersion wavelengths of fibers each havinga length sufficiently smaller than the nonlinear length, and combiningthe fibers having substantially the same average zero-dispersionwavelength to provide a nonlinear optical medium having a requiredconversion efficiency, a phase conjugator having a broad conversion bandcan be obtained.

According to the present invention, there is provided a first method formanufacturing a device having a nonlinear optical medium for generatingphase conjugate light. In this method, an optical fiber is first cutinto a plurality of sections. Then, the plurality of sections arerearranged to be connected so that a conversion band in nondegeneratefour-wave mixing using a nonlinear optical medium is maximized, therebyproviding a nonlinear optical medium. By supplying pump light and signallight to this nonlinear optical medium, phase conjugate light isgenerated. Thus, the band of conversion from the signal light into thephase conjugate light is sufficiently broad. Accordingly, in the casethat the signal light is WDM signal light obtained by wavelengthdivision multiplexing a plurality of optical signals having differentwavelengths, the plurality of optical signals can be convertedsimultaneously into the phase conjugate light (a plurality of phaseconjugate optical signals).

Preferably, the dispersions of the plural sections (e.g., thedispersions to pump light) are measured, and the plural sections arerearranged so that the section having a smaller value of the dispersionis located near an input end of a nonlinear optical medium where pumplight is input. With this configuration, the phase matching conditioncan be effectively obtained at a portion of the medium where the powerof the pump light is high, thereby effectively broadening the conversionband.

Preferably, the plural sections are connected so that the positive andnegative signs of dispersion of at least a part of the plural sectionsare alternately arranged. With this configuration, the averagedispersion of each section can be suppressed to thereby effectivelybroaden the conversion band.

According to the present invention, there is provided a second methodfor manufacturing a device having a nonlinear optical medium forgenerating phase conjugate light. In this method, an optical fiber isfirst cut into a plurality of sections. Then, the dispersions of theplural sections (e.g., the dispersions to pump light) are measured.Thereafter, some of the plural sections having smaller dispersionsenough to obtain a required conversion band by four-wave mixing using anonlinear optical medium are selected to be connected, thereby obtaininga nonlinear optical medium. Also in the case of constructing a phaseconjugator by using the nonlinear optical medium obtained by this secondmethod, a broad conversion band can be obtained, thereby allowingsimultaneous conversion of WDM signal light.

While the optical fiber is first cut into a plurality of sections ineach of the first and second methods according to the present invention,the present invention is not limited to these methods. For example, theoptical fiber may be cut as required in the following manner.

According to the present invention, there is provided a third method formanufacturing a device having a nonlinear optical medium for generatingphase conjugate light. In this method, a deviation in zero-dispersionwavelength of an optical fiber is first measured. Then, the opticalfiber is cut into sections in the case that the measured deviation isgreater than a predetermined range. In this case, a deviation inzero-dispersion wavelength of each cut fiber section is converged tofall within the predetermined range. Thereafter, the optical fibers orcut fiber sections each having a zero-dispersion wavelengthsubstantially equal to the wavelength of pump light are selected to beconnected, thereby obtaining a nonlinear optical medium.

The measurement of the deviation in zero-dispersion wavelength may bemade by using the fact that the efficiency of occurrence of four-wavemixing differs according to zero-dispersion wavelength, for example. Ingeneral, a chromatic dispersion can be obtained by measuring awavelength dependence of group velocity. As mentioned above, the bestphase matching condition in four-wave mixing is obtained when a pumplight wavelength and a zero-dispersion wavelength coincide with eachother. Accordingly, the zero-dispersion wavelength can be obtained as apump light wavelength giving a maximum efficiency of occurrence offour-wave mixing (generation of phase conjugate light) as measured inthe condition where the wavelength difference between pump light andsignal light is set to a relatively large fixed value, e.g., about 10-20nm. Further, the efficiency of occurrence of four-wave mixing isproportional to the square of the intensity of pump light. Accordingly,in the case that the zero-dispersion wavelength varies in thelongitudinal direction of an optical fiber, different values of thezero-dispersion wavelength are generally measured in the case thatsignal light and pump light are input from one end face of the opticalfiber and in the case that they are input from the other end face of theoptical fiber. Accordingly, the deviation in zero-dispersion wavelengthof the optical fiber can be obtained according to the above two measuredvalues of the zero-dispersion wavelength. This method will now bedescribed more specifically.

Referring to FIG. 6, there is shown a manufacturing process 120 for anonlinear optical medium having a small deviation in zero-dispersionwavelength. In step 122, a tolerance Δλ₀ may be determined as a systemdemanded characteristic from a required conversion band. Specifically,the tolerance Δλ₀ is 2 nm, for example. In step 124, a deviation δλ inzero-dispersion wavelength is measured. For example, when an opticalfiber F1 is given, a zero-dispersion wavelength λ₀₁ obtained in the casethat signal light and pump light are input into the optical fiber F1from its first end and a zero-dispersion wavelength λ₀₂ obtained in thecase that signal light and pump light are input into the optical fiberF1 from its second end are measured from the efficiency of occurrence offour-wave mixing mentioned above. In this case, the value of |λ₀₁−λ₀₂|can be used as a substitution for the deviation δλ in zero-dispersionwavelength.

In step 126, it is determined whether or not the deviation δλ is smallerthan the tolerance Δλ₀. It is assumed that δλ≧Δλ₀, the program proceedsto step 128. In step 128, the optical fiber F1 is cut into two opticalfibers F1A and F1B. Then, the program returns to step 124, and adeviation δλ in each of the optical fibers F1A and F1B is measured.Then, the decision of step 126 is made on each measured deviation δλ. Itis assumed that each measured deviation δλ is smaller than Δλ₀, thisflow is ended. In the fiber cutting step 128, a point of cutting of theoptical fiber F1 is arbitrary. That is, the lengths of the opticalfibers F1A and F1B may be equal to each other or different from eachother.

While the steps 124 and 126 are repeated once in the above flow, theymay not be repeated or may be repeated twice or more. For example, inthe case that an optical fiber F2 having a small deviation inzero-dispersion wavelength is given, the condition is satisfied by thedecision of step 126 in the first cycle of the flow. In this case, theoptical fiber F2 is not cut. In contrast, when an optical fiber F3having a zero-dispersion wavelength largely varying in the longitudinaldirection, the optical fiber F3 is cut into two optical fibers F3A andF3B in the step 128 in the first cycle of the flow. In the case that theoptical fiber F3A satisfies the condition and the optical fiber F3B doesnot satisfy the condition in the step 126 in the second cycle of theflow, the optical fiber F3B is cut into two optical fibers F3B1 and F3B2in the step 128 in the second cycle of the flow. Thereafter, this flowmay be ended. In this case, the original optical fiber F3 is finallydivided into the three optical fibers F3A, F3B1, and F3B2, and thedeviation δλ in zero-dispersion wavelength of each optical fiber becomessmaller than the tolerance Δλ₀.

These plural optical fiber sections (the optical fibers F1A, F1B, . . .) thus obtained are subjected to arrangement based on the measuredzero-dispersion wavelengths of these sections. Then, of all the fibersections, any sections each having a zero-dispersion wavelengthsubstantially equal to the wavelength of pump light for four-wave mixingare selected to be connected up to a length capable of providing arequired conversion efficiency, thus obtaining a nonlinear opticalmedium greatly reduced in variations in zero-dispersion wavelength alongthe fiber length. By using this nonlinear optical medium to configure aphase conjugator, a broad conversion band can be obtained.

Although the zero-dispersion wavelengths λ₀₁ and λ₀₂ are substantiallyequal to each other, an optical fiber having a zero-dispersionwavelength greatly varying along the fiber length is conceivable. Forexample, in such an optical fiber, the distribution of thezero-dispersion wavelength along the fiber length is symmetrical withrespect to the longitudinal center of the optical fiber. In such a case,the optical fiber is divided into at least two optical fiber sectionsprior to the process 120, and each optical fiber section is subjected tothe process 120. Alternatively, the process 120 may be repeated pluraltimes.

The above-mentioned manufacturing methods for a nonlinear optical mediumare applicable also to a PMF. The effect obtained by the application toa PMF is as follows:

In the case that ideal dispersion management has been realized, thepolarization state of each optical wave becomes a limiting condition ofphase matching. Although the polarization states of signal light, pumplight, and phase conjugate light are made coincident with each other ata fiber input end, the polarization states of optical waves havingdifferent wavelengths are gradually deviated by the effect ofpolarization dispersion during propagation in the fiber. This deviationincreases with an increase in wavelength difference, causing a limit ofthe conversion band. The most effective method for eliminating thislimit is to fix the polarization state in the fiber. More specifically,a PMF is preferably used as the nonlinear optical medium as previouslymentioned with reference to FIG. 1 or 4. Accordingly, a DSF having alarge nonlinear coefficient, ideal in zero-dispersion wavelengthmanagement, and having a PMF structure is ideal as a fiber four-wavemixer. By making the wavelength of pump light coincide with thezero-dispersion wavelength of this fiber, a four-wave mixer having agreatly broad conversion band can be provided.

FIG. 7 is a diagram showing a third preferred embodiment of the deviceaccording to the present invention. In this preferred embodiment, thereis shown a device usable for bidirectional transmission owing to thesymmetry of operation of each of the polarization beam splitter 10 andthe PMF 12.

Like the preferred embodiment shown in FIG. 1, phase conjugate lightE_(C1) (wavelength λ_(C1)) is generated by four-wave mixing in the PMF12 on the basis of signal light E_(S1) (wavelength λ_(S1)) and pumplight E_(P1) (wavelength λ_(P1)). In this preferred embodiment, thepolarization beam splitter 10 has an additional port 10D, and the deviceis further provided with an input port 2′, pumping source 4′, opticalcoupler 6′, optical circulator 8′, optical band-pass filter 14′, andoutput port 16′ respectively corresponding to the input port 2, thepumping source 4, the optical coupler 6, the optical circulator 8, theoptical band-pass filter 14, and the output port 16, in order togenerate second phase conjugate light E_(C2) (wavelength λ_(C2)) byfour-wave mixing in the PMF 12 on the basis of second signal lightE_(S2) (wavelength λ_(S2)) and second pump light E_(P2) (wavelengthλ_(P2)). The ports 10B and 10D are coupled by a polarization componenthaving a polarization plane parallel to the sheet plane of FIG. 7. Theports 10C and 10D are coupled by a polarization component having apolarization plane perpendicular to the sheet plane of FIG. 7.Accordingly, the second signal light E_(S2) is separated intopolarization components TM2 and TE2 in the polarization beam splitter 10on the same principle as that where the signal light E_(S1) is separatedinto polarization components TM1 and TE1.

With this configuration, the generation of the phase conjugate lightE_(C1) by the signal light E_(S1) and the pump light E_(P1) is performedin relation to one principal axis (Y axis) of the PMF 12, and thegeneration of the phase conjugate light E_(C2) by the second signallight E_(S2) and the second pump light E_(P2) is performed in relationto the other principal axis (X axis) of the PMF 12. Therefore, the twophase conjugate lights E_(C1) and E_(C2) can be generated without mutualinterference.

Accordingly, in a system having two channels of optical transmissionlines, by applying the input port 2 and the output port 16 to one of thetwo channels and applying the input port 2′ and the output port 16′ tothe other channel, the conversion can be performed on the two channelsof optical transmission lines with a single device. The effects obtainedby the first preferred embodiment as mentioned above in detail withreference to FIG. 1 can be obtained on each of the two channels, so thedescription thereof will be omitted herein.

An implementation of a photonic network using a phase conjugator willnow be described. FIG. 8 is a block diagram for illustrating theprinciple of a photonic network.

An optical sender (OS) 202 outputs a signal beam.

A first optical fiber (fiber span) 204 has a first end 204A and a secondend 204B respectively corresponding to an input end and an output endfor the signal beam. A first phase conjugator (1st PC) 206 isoperatively connected to the second end 204B.

The first phase conjugator 206 converts the signal beam supplied fromthe first optical fiber 204 into a first phase conjugate beam, andoutputs the first phase conjugate beam.

A second optical fiber (fiber span) 208 has a third end 208A and afourth end 208B respectively corresponding to an input end and an outputend for the first phase conjugate beam. A second phase conjugator (2ndPC) 210 is operatively connected to the fourth end 208B.

The second phase conjugator 210 converts the first phase conjugate beamsupplied from the second optical fiber 208 into a second phase conjugatebeam, and outputs the second phase conjugate beam.

A third optical fiber 212 has a fifth end 212A and a sixth end 212Brespectively corresponding to an input end and an output end for thesecond phase conjugate beam.

An optical receiver (OR) 214 is provided to receive the second phaseconjugate beam transmitted by the third optical fiber 212.

A system midpoint 216 is set on the midway of the second optical fiber208. The system midpoint 216 will be hereinafter defined.

The second optical fiber 208 consists of a first portion 281 extendingbetween the third end 208A and the system midpoint 216, and a secondportion 282 extending between the system midpoint 216 and the fourth end208B.

In the present invention, parameters in the optical fibers 204, 208, and212 are set in the following manner.

First, the first optical fiber 204 is virtually divided into N (N is aninteger greater than 1) sections 204(#1) to 204(#N), and the firstportion 281 of the second optical fiber 208 is also virtually dividedinto N sections 281(#1) to 281(#N), the number N of division being thesame as that of the first optical fiber 204. In two corresponding onesof the sections 204(#1) to 204(#N) and the sections 281(#1) to 281(#N)counted from the first phase conjugator 206, the product of the averageof chromatic dispersions and the length of one of the two correspondingsections is made coincident with the product of the average of chromaticdispersions and the length of the other one of the two correspondingsections. More specifically, letting D_(1i) and L_(1i) respectivelydenote the average of chromatic dispersions (or dispersion parameters)and the length of the i-th (1≦i≦N) section 204(#i) in the first opticalfiber 204 as counted from the first phase conjugator 206, and lettingD_(2i) and L_(2i) respectively denote the average of chromaticdispersions (or dispersion parameters) and the length of the i-thsection 281(#i) in the first portion 281 of the second optical fiber 208as counted from the first phase conjugator 206, the following equationis satisfied.D _(1i) L _(1i) =D _(2i)L_(2i)  (1)

Further, letting P_(1i) and Y_(1i) respectively denote the average ofoptical powers and the average of nonlinear coefficients in the i-thsection 204(#i), and letting P_(2i) and γ_(2i) respectively denote theaverage of optical powers and the average of nonlinear coefficients inthe i-th section 281(#i), the following equation is satisfied.P _(1i)γ_(1i) L _(1i) =P _(2i)γ_(2i) L _(2i)  (2)

On the other hand, the second portion 282 of the second optical fiber208 is virtually divided into M (M is an integer greater than 1)sections 282(#1) to 282(#M), and the third optical fiber 212 is alsovirtually divided into M sections 212(#1) to 212(#M), the number M ofdivision being the same as that of the second portion 282.

Letting D_(3j) and L_(3j) respectively denote the average of chromaticdispersions and the length of the j-th (1≦j≦M) section 282(#j) in thesecond portion 282 of the second optical fiber 208 as counted from thesecond phase conjugator 210, and letting D_(4j) and L_(4j) respectivelydenote the average of chromatic dispersions and the length of the j-thsection 212(#j) in the third optical fiber 212 as counted from thesecond phase conjugator 210, the following equation is satisfied.D _(3j) L _(3j) =D _(4j) L _(4j)  (3)

Further, letting P_(3j) and γ_(3j) respectively denote the average ofoptical powers and the average of nonlinear coefficients in the j-thsection 282(#j), and letting P_(4j) and γ_(4j) respectively denote theaverage of optical powers and the average of nonlinear coefficients inthe j-th section 212(#j), the following equation is satisfied.P _(3j)γ_(3j) L _(3j) =P _(4j)γ_(4j) L _(4j)  (4)

In the system shown in FIG. 8, the waveform distortion becomes largeonce on the downstream side of the first phase conjugator 206. However,since the conditions of Eqs. (1) and (2) are satisfied, the chromaticdispersion and the nonlinearity are compensated at the system midpoint216, so that the waveform is once returned to the original form. Thisrestored waveform is distorted again on the downstream side of thesecond phase conjugator 210. However, since the conditions of Eqs. (3)and (4) are satisfied, the chromatic dispersion and the nonlinearity arecompensated at the optical receiver 214 to thereby restore the originalwaveform.

The configuration shown in FIG. 8 is tolerant to a setting error of thelength or other parameters of the second optical fiber 208 to bepossibly placed on the sea bed or the like. That is, even though thewaveform is not completely returned to the original form at the systemmidpoint 216, this incompleteness is regenerated in the second portion282, the second phase conjugator 210, and the third optical fiber 212,thereby completely restoring the original waveform at the opticalreceiver 214.

Referring to FIG. 9, there is shown the principle of compensation forthe chromatic dispersion and the nonlinearity in the configuration shownin FIG. 8. This compensation principle may be applied also to the otherpreferred embodiments. FIG. 9 illustrates the principle of compensationin the path from the optical sender 202 to the system midpoint 216.Prior to the description of the compensation principle with reference toFIG. 9, the general facts on phase conjugate waves will now bedescribed.

The propagation of an optical signal E(x, y, z, t)=F(x, y)φ(z,t)exp[i(ωt−kz)] in optical fiber transmission can be generally describedby the following nonlinear wave equation, in which F(x, y) represents alateral mode distribution, and φ(z, t) represents a complex envelope oflight. It is assumed that φ(z, t) changes much more slowly than thefrequency ω of light. $\begin{matrix}{{{i\frac{\partial\phi}{\partial z}} - {\left( \frac{1}{2} \right)\beta_{2}\frac{\partial^{2}\phi}{\partial T^{2}}} + {\gamma{\phi }^{2}\phi}} = {{- \left( \frac{i}{2} \right)}{\alpha\phi}}} & (5)\end{matrix}$where T=t−β₁z (β₁: propagation constant), α is the fiber loss, β₂ is thechromatic dispersion of a fiber, and γ is the third-order nonlinearcoefficient (the coefficient of optical Kerr effect). $\begin{matrix}{\gamma = \frac{\omega\quad n_{2}}{c\quad A_{eff}}} & (6)\end{matrix}$

In Eq. (6), n₂ and A_(eff) are the nonlinear refractive index andeffective core area of a fiber, respectively, and c is the velocity oflight in the vacuum. In this case, the first-order dispersion isconsidered and the higher-order dispersion is omitted. Further, it isassumed that α, β, and γ are functions of z, i.e., they are representedby α(z), β(z), and γ(z), respectively. Further, the position of thephase conjugator is set to an origin (z=0). The following normalizedfunction is now introduced.

 φ(z,T)=A(z)u(z,T)  (7)

where, $\begin{matrix}{{A(z)} \equiv {{A(0)}{\exp\left\lbrack {{- \left( \frac{1}{2} \right)}{\int_{0}^{z}{{\alpha(z)}\quad{\mathbb{d}z}}}} \right\rbrack}}} & (8)\end{matrix}$

A(z) represents the amplitude, wherein it shows that when α(z)>0, thetransmission line has a loss, whereas when α(z)<0, the transmission linehas a gain. Further, A(z)≡A(0) shows the transmission line has no loss.Further, A(z)²=P(z) corresponds to optical power. Insertion of Eqs. (7)and (8) into Eq. (5) gives the following evolution equation.$\begin{matrix}{{i\frac{\partial u}{\partial z}} = {{\left( \frac{1}{2} \right){\beta_{2}(z)}\frac{\partial^{2}u}{\partial T^{2}}} - {{\gamma(z)}{A(z)}^{2}{u}^{2}u}}} & (9)\end{matrix}$

The following transformation will now be made.ζ=∫₀ ^(z)|β₂(z)|dz  (10)

As a result, Eq. (9) can be transformed into the following equation.$\begin{matrix}{{i\frac{\partial u}{\partial\zeta}} = {{\frac{{sgn}\left\lbrack \beta_{2} \right\rbrack}{2}\frac{\partial^{2}u}{\partial T^{2}}} - {\frac{{\gamma(\zeta)}{A(\zeta)}^{2}}{{\beta_{2}(\zeta)}}{u}^{2}u}}} & (11)\end{matrix}$where sgn[β₂]≡±1 takes +1 in the case of β₂>0, i.e., normal dispersion,or takes −1 in the case of β₂<0, i.e., anomalous dispersion. If Eq. (11)holds, the complex conjugate of Eq. (11) also holds to obtain thefollowing equation. $\begin{matrix}{{{- i}\frac{\partial u^{*}}{\partial\zeta}} = {{\frac{{sgn}\left\lbrack \beta_{2} \right\rbrack}{2}\frac{\partial^{2}u^{*}}{\partial T^{2}}} - {\frac{{\gamma(\zeta)}{A(\zeta)}^{2}}{{\beta_{2}(\zeta)}}{u^{*}}^{2}u^{*}}}} & (12)\end{matrix}$

The complex conjugate light u* follows the same evolution equation asthat for u. However, the propagation direction is inverted. Thisoperation is just the operation of a phase conjugator. Particularly in atransmission type phase conjugator, the above description is equivalentto inverting a phase shift due to chromatic dispersion and SPM.

In FIG. 9, L₁ denotes the length of the first optical fiber 204, and L₂denotes the length of the first portion 281 of the second optical fiber208. The phase conjugator 206 is located at the origin z=0 (ζ=0) of zcoordinates and ζ coordinates. The z coordinate and ζ coordinate of thesystem midpoint 216 are represented by L₂ and ζ₀, respectively.

In the first optical fiber 204, a signal beam u (E_(S)) propagates inaccordance with Eq. (11), the evolution equation. The signal beam u isconverted into a phase conjugate beam u* (E_(C)) by the phase conjugator206. The phase conjugate beam u* propagates in the first portion 281 ofthe second optical fiber 208 in accordance with Eq. (12), the evolutionequation.

By setting the value of each parameter so that the coefficients of thefirst and second terms of the right side of Eq. (11) become equal toeach other within a normalized distance dζ between two arbitrary points−ζ and ζ symmetrical with respect to the position (ζ=0) of the phaseconjugator 206 on the ζ axis, u* at the point ζ becomes a phaseconjugate wave of u at the point −ζ. In other words, the following twoequations are the conditions for compensation.sgn[β₂(−ζ)]=sgn[β₂(ζ)]  (13)$\begin{matrix}{\frac{{\gamma\left( {- \zeta} \right)}{A\left( {- \zeta} \right)}^{2}}{{\beta_{2}\left( {- \zeta} \right)}} = \frac{{\gamma(\zeta)}{A(\zeta)}^{2}}{{\beta_{2}(\zeta)}}} & (14)\end{matrix}$

Eq. (13) shows that the signs of dispersions of the first optical fiber204 and the first portion 281 must be the same. In consideration of thefact that γ>0 and A(z)²>0, the above conditions can be summarized asfollows: $\begin{matrix}{\frac{{\gamma\left( {- \zeta} \right)}{A\left( {- \zeta} \right)}^{2}}{\beta_{2}\left( {- \zeta} \right)} = \frac{{\gamma(\zeta)}{A(\zeta)}^{2}}{\beta_{2}(\zeta)}} & (15)\end{matrix}$

The phase shift due to chromatic dispersion and SPM at the point (−ζ) inthe first optical fiber 204 is inverted in sign by the phase conjugator206. Accordingly, the waveform distortion due to this phase shift iscompensated by the waveform distortion due to the phase shift at thepoint (ζ) in the first portion 281. Such compensation by the abovesetting is repeated in each section to thereby allow compensation overthe entire fiber length.

The above compensation condition will now be described in terms of zcoordinates. Eq. (15) is rewritten as follows: $\begin{matrix}{\frac{{\gamma\left( {- z_{1}} \right)}{A\left( {- z_{1}} \right)}^{2}}{\beta_{2}\left( {- z_{1}} \right)} = \frac{{\gamma\left( z_{2} \right)}{A\left( z_{2} \right)}^{2}}{\beta_{2}\left( z_{2} \right)}} & (16)\end{matrix}$

In other words, the compensation condition is to equalize the ratio ofthe product of a nonlinear coefficient and an optical power to achromatic dispersion in a certain section and the ratio of the productof a nonlinear coefficient and an optical power to a chromaticdispersion in the corresponding section. In Eq. (16), −z₁ and z₂ are twopoints satisfying the following equation.∫₀ ^(−z1)|β₂(z)|dz=−∫₀ ^(z2)|β₂(z)|dz  (17)

From Eqs. (16) and (17), the following equations are obtained.β₂(−z ₁)dz ₁=β₂(z ₂)dz ₂  (18)γ(−z ₁)A(−z ₁)² dz ₁=γ(z ₂)A(z ₂)² dz ₂  (19)

In Eqs. (18) and (19), dz₁ and dz₂ are the lengths of small sections atthe points −z₁ and z₂, respectively. The length of each small section isinversely proportional to a dispersion in the same small section orinversely proportional to the product of a nonlinear coefficient and anoptical power in the same small section. In consideration of therelation between a dispersion β₂ and a dispersion parameter D, i.e.,D=−(2πc/λ²)β₂, the following relations are obtained from Eqs. (18) and(19). The dispersion parameter D is a function of z, that is, it isrepresented by D(z).

 D(−z ₁)dz ₁ =D(z ₂)dz ₂  (20)γ(−z ₁)P(−z ₁)dz ₁=γ(z ₂)P(z ₂)dz ₂  (21)

It is understood from Eqs. (20) and (21) that the compensation conditionis to equalize an increment in each of dispersion and nonlinearity atone of two positions symmetrical with respect to the phase conjugator206 and a decrement in each of dispersion and nonlinearity at the otherposition.

Eqs. (20) and (21) are necessary conditions for compensation, which showthat the total dispersions of two corresponding sections are equal andthat the total optical Kerr phase shifts of two corresponding sectionsare equal. That is, the effectiveness of the conditions of Eqs. (1) to(4) has now been confirmed.

Particularly in the case that α, D, and γ are constant and variations inpower are small, the following equations are obtained by integratingEqs. (20) and (21).D ₁ L ₁ =D ₂ L ₂  (22)γ₁ P ₁ L ₁=γ₂ P ₂ L ₂  (23)where P₁ and P₂ are the average powers in the first optical fiber 204and the first portion 281, respectively. Further, D₁ and γ₁ are theaverage of dispersion parameters and the average of nonlinearcoefficients of the first optical fiber 204, respectively, and D₂ and γ₂are the average of dispersion parameters and the average of nonlinearcoefficients of the first portion 281, respectively. Eqs. (22) and (23)are coincident with the conditions in dispersion compensation and SPMcompensation by average approximation.

From the viewpoint of practicality, the present invention can be carriedout by satisfying only the condition of Eq. (22). That is, according tothe present invention, there is provided an optical fiber communicationsystem comprising a first optical fiber having a first end and a secondend respectively corresponding to an input end and an output end for asignal beam, a phase conjugator operatively connected to the second endfor converting the signal beam into a phase conjugate beam andoutputting the phase conjugate beam, and a second optical fiber having athird end and a fourth end respectively corresponding to an input endand an output end for the phase conjugate beam, wherein the product ofthe average of chromatic dispersions of the first optical fiber and thelength of the first optical fiber is substantially equal to the productof the average of chromatic dispersions of the second optical fiber andthe length of the second optical fiber.

Preferably, to satisfy the condition of Eq. (23), the product of theaverage of optical powers in the first optical fiber, the average ofnonlinear coefficients in the first optical fiber, and the length of thefirst optical fiber is substantially equal to the product of the averageof optical powers in the second optical fiber, the average of nonlinearcoefficients in the second optical fiber, and the length of the secondoptical fiber.

In the case that a plurality of optical amplifiers are provided on anoptical path including the first and second optical fibers, the spacingbetween any adjacent ones of the plural optical amplifiers is preferablyset shorter than the nonlinear length of the optical path (opticalfiber).

While FIG. 9 shows the principle of compensation on the upstream side ofthe system midpoint 216, the principle of compensation on the downstreamside of the system midpoint 216 can be similarly understood, so thedescription thereof will be omitted herein.

In the description with reference to FIG. 9, the normalized coordinatesare defined by the accumulated value of chromatic dispersions from thephase conjugator 206 as shown by Eq. (10). As a result, the requiredcondition is that at two corresponding points on the first optical fiber204 and the first portion 281 where the accumulated values of chromaticdispersions from the phase conjugator 206 are equal to each other, theratio of the product of an optical power and a nonlinear coefficient toa chromatic dispersion at one of the two corresponding points issubstantially equal to the ratio of the product of an optical power anda nonlinear coefficient to a chromatic dispersion at the other point asshown by Eq. (15).

Alternatively, the normalized coordinates in FIG. 9 may be defined bythe accumulated value of nonlinear effects (i.e., the accumulated valueof the products of optical powers and nonlinear coefficients) from thephase conjugator 206. In this case, the required condition is that attwo corresponding points on the first optical fiber 204 and the firstportion 281 where the above-mentioned accumulated values are equal toeach other, the ratio of the product of an optical power and a nonlinearcoefficient to a chromatic dispersion at one of the two correspondingpoints is substantially equal to the ratio of the product of an opticalpower and a nonlinear coefficient to a chromatic dispersion at the otherpoint.

As described above, between the first optical fiber and the secondoptical fiber both connected to the phase conjugator, the totaldispersion of the first optical fiber is set equal to the totaldispersion of the second optical fiber, and the total quantity ofoptical Kerr effects in the first optical fiber is set equal to thetotal quantity of optical Kerr effects in the second optical fiber, sothat waveform distortion is compensated by the phase conjugator in sucha manner that the waveform of an optical pulse input into the firstoptical fiber becomes substantially the same as the waveform of anoptical pulse output from the second optical fiber. In other words, atthe transmitting end of an optical pulse (the input end of the firstoptical fiber) and the receiving end of an optical pulse (the output endof the second optical fiber), the optical pulse waveforms havingsubstantially the same shape can be obtained. Accordingly, by providingoptical ADMs (add/drop multiplexers) at the input end and the outputend, a receiving optical pulse can be received in the same condition asthat of a transmitted optical pulse. As a result, at each ADM theregeneration (waveform shaping and retiming) of a receiving opticalpulse can be omitted without degradation in SNR of the receiving opticalpulse, thereby allowing the construction of a flexible system. Therewill now be described a so-called photonic network utilizing thisprinciple.

Since the device according to the present invention has a broadconversion band, it can be effectively applied to wavelength divisionmultiplexing. This application will now be described more specifically.

FIG. 10 is a diagram for illustrating simultaneous (multi-channel)conversion of WDM signal light by a phase conjugator having a broadconversion band. The WDM signal light is obtained by wavelength divisionmultiplexing (WDM) N channels of optical signals having differentwavelengths λ₁ to λ_(N). It is assumed that λ₁ is the shortestwavelength and λ_(N) is the longest wavelength. The wavelength λ_(P) ofpump light is set shorter than λ₁, for example. The WDM signal light isconverted into converted light by nondegenerate four-wave mixing usingthe pump light. The converted light is composed of N channels ofconverted optical signals having different wavelengths λ₁′ to λ_(N)′.The wavelengths λ_(i) and λ_(i)′ (1≦i≦N) of the WDM signal light and theconverted light are arranged symmetrically with respect to thewavelength λ_(P) of the pump light.

In four-wave mixing using an optical fiber or a PMF as a nonlinearoptical medium, the conversion band is substantially flat. Accordingly,wavelength conversion and phase conjugate conversion can be performedwith substantially the same conversion efficiency to the optical signalsof all the channels. Accordingly, waveform distortion due to chromaticdispersion and nonlinear effect in a transmission line can becompensated for each channel, thereby allowing long-haul, large-capacitytransmission. While the conversion from a longer-wavelength band to ashorter-wavelength band is shown in FIG. 10, it is needless to say thatthe conversion from a shorter-wavelength band to a longer-wavelengthband can be made similarly, because the conversion band by an opticalfiber is symmetrical with respect to a zero-dispersion wavelength.

FIG. 11 is a block diagram showing a second preferred embodiment of thesystem according to the present invention. A plurality of optical fibernetworks NW1, NW2, and NW3 each adopting WDM are connected by an opticalfiber transmission line 140 and nodes 142. A phase conjugator PC11 isprovided on the midway of the optical fiber transmission line 140 toperform conversion between the networks NW1 and NW2, and a phaseconjugator PC23 is provided on the midway of the optical fibertransmission line 140 to perform conversion between the networks NW2 andNW3. In the networks NW1, NW2, and NW3, WDM transmission in differentwavelength bands λ_(1j), λ_(2j), and λ_(3j) is carried out,respectively. The phase conjugator PC11 performs wavelength conversionand phase conjugate conversion between the wavelength bands λ_(1j) andλ_(2j), and the phase conjugator PC23 performs wavelength conversion andphase conjugate conversion between the wavelength bands λ_(2j) andλ_(3j). There are some positions on the optical fiber transmission line140 where waveform distortion due to chromatic dispersion and nonlineareffect can be compensated for according to the present invention.Accordingly, the nodes 142 are located at these positions. Each node 142includes an optical add/drop multiplexer for adding and dropping anoptical signal. The optical add/drop multiplexer functions to all orpart of the channels of WDM signal light or converted light. Forexample, in the case that the wavelength band λ_(1j) of the opticalfiber network NW1 is given by the wavelength region of the WDM signallight shown in FIG. 10 and the wavelength of pump light in the phaseconjugator PC11 is λ_(P), the wavelength band λ_(2j) of the opticalfiber network NW2 is given by the wavelength region of the convertedlight.

With such a system configuration, waveform distortion compensation andwavelength conversion by a phase conjugator can be effectively utilized,thereby allowing construction of a long-haul, large-capacity flexiblesystem. Further, such application to the transmission between networkshas recently become important especially in the following points.

(1) Broadening of the gain bandwidth of an optical amplifier.

(2) Widening of variety of dispersion of an optical fiber used as atransmission line.

The first point (1) is related to recent broadening of the gainbandwidth of an EDFA (erbium doped fiber amplifier), and the secondpoint (2) is related to speed-up of a transmitted signal and dispersionmanagement for WDM transmission. There has recently been developed anEDFA having a broad gain bandwidth of more than 50 nm and excellent ingain flatness as intended for WDM. It is expected that the gainbandwidth will be further broadened in the future, and for example, anEDFA having a broad gain bandwidth of about 60-80 nm will be developed.While it is needless to say that such broadening of the gain bandwidthof an EDFA is useful for increasing the number of WDM channels(transmission capacity), the gain bandwidth broadening enablesintroduction of a new concept in the transmission between networks shownin FIG. 11, for example.

For example, in the case that the wavelength bands of the optical fibernetworks NW1 and NW2 shown in FIG. 11 are set as shown in FIG. 12,effective transmission according to the present invention is allowedbetween the optical fiber networks NW1 and NW2. In FIG. 12, referencenumeral 144 denotes a relatively flat gain band of an optical amplifier(e.g., EDFA). one of the reasons for such difference between thewavelength bands of the networks is that optical fibers used as thetransmission lines in the networks are different. A 1.3-μmzero-dispersion single-mode fiber (so-called standard SMF) and a 1.55-μmdispersion shifted fiber (DSF) are known as optical fibers practicallyused at present. On the other hand, recent developments in EDFAs showthat the wavelength band for high-speed, long-haul transmission inparticular has mainly become a 1.55-μm band. That is, the standard SMFshows a large anomalous dispersion of about +16-+20 ps/nm/km, whereasthe DSF can suppress the dispersion down to a small value of about ±1-2ps/nm/km, so that the DSF is advantageous over the standard SMF forhigh-speed, long-haul transmission in a 1.55-μm band. However, manystandard SMFs have already been installed, and there are many networksthat are obliged to use the standard SMFs as the transmission lines. Inconnecting such a network using a standard SMF to another network usinga DSF, it is necessary to perform wavelength conversion from thewavelength band of the network using the standard SMF to a wavelengthband giving an optimum dispersion of the DSF. In such a case, thepresent invention is accordingly effective.

Moreover, also in connecting networks each using a DSF, the presentinvention is effective, because smaller dispersions are not alwaysadvantageous in WDM. In relatively high-speed WDM, the power level ineach channel must be set to a considerably high level, so as to ensure arequired signal-to-noise ratio (SNR). In this case, if the dispersion ofan optical fiber used as the transmission line is small, there occursinterchannel crosstalk due to four-wave mixing, causing a degradation intransmission characteristics. To avoid this effect, there is a recentcase of using a nonzero dispersion-shifted fiber having azero-dispersion wavelength largely shifted from a signal band to have arelatively large dispersion. In this manner, a wide variety of opticalfibers have now been used as the transmission line, so that networksusing various wavelength bands can be constructed. Accordingly, inconnecting such networks, the present invention intended to realizebroadband wavelength conversion and phase conjugate conversion becomeseffective.

While a wide variety of EDFAs have also been used in recent years, themost general EDFA is of a type having gain peaks in a 1.53-μm band andin a 1.55-μm band. The former band is called a blue band, and the latterband is called a red band.

FIG. 13 is a diagram showing another example of setting of thewavelength bands in FIG. 11. In this example, the wavelength band of theoptical fiber network NW1 is included in the red band of the EDFA asshown by reference numeral 146, and the wavelength band of the opticalfiber network NW2 is included in the blue band of the EDFA as shown byreference numeral 148. By this setting, in the case that the opticalfiber transmission line 140 or each network includes in-line EDFAS,phase conjugate conversion between the red band and the blue band can beeasily carried out.

FIG. 14 is a diagram showing an example of dispersion allocation in FIG.11. D ₁ and D₂ (ps/nm/km in unit for each) represent the dispersions inthe optical fiber networks NW1 and NW2, respectively. In this example,WDM is performed in each network by using a normal dispersion fiber. Itis expected that the influences of dispersion in two correspondingchannels are different between before conversion and after conversion,because the channel location is inverted by the wavelength conversion asshown in FIG. 10. However, this problem can be solved by making theinfluences of dispersion substantially equal between near centerchannels and by performing dispersion compensation in each network. Thedispersion in each network may be normal dispersion or anomalousdispersion.

As described above, according to the present invention, there isprovided an optical fiber communication system comprising a plurality ofoptical fiber networks for WDM signal light obtained by wavelengthdivision multiplexing (WDM) a plurality of optical signals havingdifferent wavelengths, and at least one converter for connecting theseoptical fiber networks. The converter performs simultaneous wavelengthconversion and phase conjugate conversion of the plural optical signals,thereby easily constructing a long-haul, large-capacity flexible system.

Recently, an EDFA having a flat gain over a wavelength region includingthe red band and the blue band has been developed. By codoping an erbiumdoped fiber with a high concentration of aluminum and using a gainequalizer in combination, an optical amplifier having a gain bandwidthof about 40 nm (at about 1525-1565 nm) has been realized. This band issometimes called a C band.

On the other hand, an optical amplifier having a flat gain in a band of1570-1610 nm shifted from the C band toward longer wavelengths is nowbeing developed. This band is sometimes called an L band. This opticalamplifier is called a gain-shifted EDFA. By making the length of analuminum-codoped EDFA larger than the length of an EDFA having a C band,the gain in the L band can be ensured although the gain per unit lengthin the L band is originally small.

By combining an optical amplifier having a C band and an opticalamplifier having an L band in parallel, an optical amplifier having again bandwidth of about 80 nm has been developed. Further, by using atelluride-based EDFA, an optical amplifier having a gain bandwidth ofabout 80 nm is now being developed.

FIG. 15 is a diagram showing still another example of setting of thewavelength bands in FIG. 11. In this example, the wavelength band of theoptical fiber network NW1 is included in an L band shown by referencenumeral 152, and the wavelength band of the optical fiber network NW2 isincluded in a C band shown by reference numeral 154.

According to the present invention, a broad conversion band is obtained.Accordingly, the combination of the device according to the presentinvention and an optical amplifier having a broad gain band is greatlyuseful for construction of a long-haul, large-capacity flexible system.

In general, when WDM signal light is input to a four-wave mixer FWM, theWDM signal light and converted light are output from the four-wave mixerFWM as shown in FIG. 16. The four-wave mixer FWM may be provided by thedevice according to the present invention or a phase conjugator. In afour-wave mixer having a sufficiently high efficiency, input signallight is amplified by the parametric effect. Letting G denote theparametric gain to the signal light, the converted light gives a gain(G−1). Thus, the four-wave mixer has a main feature that it transmitsthe signal light and can also output the converted light. By utilizingthis feature, a four-wave mixer can be applied to a WDM network in thefollowing manner.

FIG. 17 is a block diagram showing a third preferred embodiment of thesystem according to the present invention. In this preferred embodiment,optical fiber networks NW1 and NW2 as mentioned above with reference toFIG. 11 are connected by a four-wave mixer FWM to allow conversionbetween a wavelength band λ_(1j) and a wavelength band λ_(2j). Thefour-wave mixer FWM may be provided by the device shown in FIG. 7, whichallows bidirectional transmission.

FIG. 18 is a block diagram showing a fourth preferred embodiment of thesystem according to the present invention. Each of the optical fibernetworks NW1 and NW2 should be regarded as including the function of ausual transmission line. That is, in the case that bidirectionaltransmission as shown in FIG. 18 is carried out, the downstream line andthe upstream line shown in FIG. 18 should be understood as the opticalfiber networks NW1 and NW2, respectively.

In the system shown in FIG. 18, a four-wave mixer FWM for converting awavelength band λ_(1j) into a wavelength band λ_(2j) is provided toperform loop-back from the downstream line to the upstream line, andanother four-wave mixer FWM for converting the wavelength band λ_(2j)into the wavelength band λ_(1j) is provided to perform loop-back fromthe upstream line to the downstream line. Each four-wave mixer FWM maybe provided by the device shown in FIG. 1 or 4. Alternatively, these twofour-wave mixers FWMs may be provided by the single device shown in FIG.7.

Having thus described various applications wherein all the channels ofWDM signal light subjected to simultaneous wavelength conversion aretransferred, an arbitrary one of the channels of WDM signal light can betransferred by using an optical ADM as mentioned above in combination,thereby allowing construction of a more flexible system.

FIG. 19 is a block diagram showing a fifth preferred embodiment of thesystem according to the present invention. In this preferred embodiment,WDM signal light having a wavelength band λ_(1j) in an optical fibernetwork NW1 is converted into converted light by a four-wave mixer FWM,and an arbitrary wavelength channel is dropped according to thisconverted light by an optical add/drop multiplexer ADM. Then, thedropped signal is fed to an optical fiber network NW2. Similarly, WDMsignal light having a wavelength band λ_(2j) in the optical fibernetwork NW2 is converted into converted light by another four-wave mixerFWM, and an arbitrary wavelength channel is dropped according to thisconverted light by another optical add/drop multiplexer ADM. Then, thedropped signal is fed to the optical fiber network NW1.

FIG. 20 is a block diagram showing a sixth preferred embodiment of thesystem according to the present invention. In contrast to the systemshown in FIG. 19, the system shown in FIG. 20 is characterized in thatfirst and second four-wave mixers FWMs are included in optical fibernetworks NW1 and NW2, respectively. Accordingly, in the optical fibernetwork NW1, WDM signal light having a wavelength band λ_(1j) can bepassed through the first four-wave mixer FWM. Similarly, in the opticalfiber network NW2, WDM signal light having a wavelength band λ_(2j) canbe passed through the second four-wave mixer FWM. Like the system shownin FIG. 18, the system shown in FIG. 20 can also be applied tobidirectional transmission or the like.

FIG. 21 is a block diagram showing a seventh preferred embodiment of thesystem according to the present invention. An optical add/dropmultiplexer ADM is provided on a transmission line. A signal of anarbitrary wavelength channel is dropped by the optical add/dropmultiplexer ADM from WDM signal light transmitted by the transmissionline, and this dropped signal is subjected to wavelength conversion intothe wavelength bands λ_(1j) and λ_(2j) of optical fiber networks NW1 andNW2 by four-wave mixers FWMs. Then, the converted lights from thefour-wave mixers FWMs are fed to the optical fiber networks NW1 and NW2.Conversely, WDM signal light in each optical fiber network is subjectedto wavelength conversion into a wavelength band of the transmission lineby the corresponding four-wave mixer FWM, and a signal of a requiredwavelength channel is dropped from the converted light and fed to thetransmission line.

FIG. 22 is a block diagram showing an eighth preferred embodiment of thesystem according to the present invention. In contrast to the systemshown in FIG. 11, the system shown in FIG.22 is characterized in thatoptical add/drop multiplexers ADMs are provided in place of the nodes142. The optical add/drop multiplexers ADMs are provided on the opticalfiber transmission line 140 at specific points where waveform distortioncan be most compensated by the phase conjugators PCs. In each opticaladd/drop multiplexer ADM, a signal of an arbitrary wavelength channel isadded or dropped.

FIG. 23 is a block diagram showing a ninth preferred embodiment of thesystem according to the present invention. In this preferred embodiment,a common wavelength band λ_(s) is set in the optical fiber transmissionline 140, and phase conjugators PCs are included in the optical fibernetworks NW1, NW2, and NW3. In each phase conjugator PC, wavelengthconversion and waveform distortion compensation are performed. A signalof an arbitrary wavelength channel is dropped from the converted lightby each optical add/drop multiplexer ADM, and then fed to the opticalfiber transmission line 140. Conversely, a signal of an arbitrarywavelength channel is dropped from the optical fiber transmission line140 by each optical add/drop multiplexer ADM, and the dropped signal issubjected to wavelength conversion into the wavelength band of eachnetwork by using the corresponding phase conjugator PC. Then, theconverted signal is fed into the corresponding network.

As described above, according to the present invention, it is possibleto provide a device for phase conjugate conversion and wavelengthconversion which has a broad conversion band. Further, according to thepresent invention, it is possible to provide a device for phaseconjugate conversion and wavelength conversion in which the efficiencyof conversion from signal light into converted light is not dependent onthe polarization state of the signal light to be converted. Further,according to the present invention, it is also possible to provide anovel flexible system suitable for large-capacity transmission.

1. A device comprising: an optical circulator having first, second, andthird ports, said first port being supplied with signal light includingfirst and second polarization components respectively having first andsecond polarization planes orthogonal to each other, and with pumplight; a polarization beam splitter having fourth, fifth, and sixthports, said fourth port being optically connected to said second port,said fourth and fifth ports being coupled by said first polarizationplane, said fourth and sixth ports being coupled by said secondpolarization plane; and a polarization maintaining fiber having firstand second ends, and having a polarization mode to be maintained betweensaid first and second ends, said first end being optically connected tosaid fifth port so that said first polarization plane is adapted to saidpolarization mode, said second end being optically connected to saidsixth port so that said second polarization plane is adapted to saidpolarization mode.
 2. A device according to claim 1, wherein saidpolarization maintaining fiber has a substantially constantzero-dispersion wavelength in relation to said polarization mode, andsaid pump light has a wavelength substantially equal to saidzero-dispersion wavelength.
 3. A device according to claim 1, whereinsaid signal light is converted into converted signal light by four-wavemixing based on said signal light and said pump light in saidpolarization maintaining fiber, said converted signal light being outputfrom said third port of said optical circulator.
 4. A device accordingto claim 3, wherein said converted signal light is a phase conjugate ofsaid signal light.
 5. A device according to claim 3, wherein: said pumplight has a third polarization plane; said third polarization planebeing set so that the efficiency of conversion from said signal light tosaid converted signal light is independent of the polarization state ofsaid signal light.
 6. A device according to claim 3, wherein said signallight, said pump light, and said converted signal light have angularfrequencies ω_(S), ω_(P), and ω_(C), respectively, said angularfrequencies ω_(S), ω_(P), and ω_(C) substantially satisfying therelation of 2ω_(P)=ω_(S)+ω_(C).
 7. A device according to claim 3,further comprising an optical band-pass filter optically connected tosaid third port of said optical circulator and having a passbandincluding the wavelength of said converted signal light.
 8. A deviceaccording to claim 1, wherein said polarization maintaining fiber hasfirst and second principle axes orthogonal to each other, and saidpolarization mode corresponds to one of said first and second principalaxes.
 9. A device according to claim 1, further comprising: a pumpingsource for outputting said pump light; and an optical coupler opticallyconnected to said first port of said optical circulator for combiningsaid signal light and said pump light.
 10. A device according to claim1, further comprising means for modulating or dithering the frequency orphase of said pump light.
 11. A device comprising: a polarization beamsplitter having first, second, and third ports, said first port beingsupplied with signal light including first and second polarizationcomponents respectively having first and second polarization planesorthogonal to each other, and with pump light, said first and secondports being coupled by said first polarization plane, said first andthird ports being coupled by said second polarization plane; and apolarization maintaining fiber having first and second ends, and havinga polarization mode to be maintained between said first and second ends,said first end being optically connected to said second port so thatsaid first polarization plane is adapted to said polarization mode, saidsecond end being optically connected to said third port so that saidsecond polarization plane is adapted to said polarization mode; whereinsaid polarization mode to be maintained by said polarization maintainingfiber is given by a predetermined principal axis; said firstpolarization plane of said signal light in said second port includessaid predetermined principal axis; and said second polarization plane ofsaid signal light in said third port includes said predeterminedprincipal axis.
 12. A device, comprising: a polarization beam splitterhaving first, second, and third ports, said first port being suppliedwith signal light including first and second polarization componentsrespectively having first and second polarization planes orthogonal toeach other, with pump light, said first and second ports being coupledby said first polarization plan, said first and third ports beingcoupled by said second polarization plane; a polarization maintainingfiber having first and second ends, and having a polarization mode to bemaintained between said first and second ends, said first end beingoptically connected to said second port so that said first polarizationplane is adapted to said polarization mode, said second end beingoptically connected to said third port so that said second polarizationplane is adapted to said polarization mode; and an optical circulatoroptically connected to said first port of said polarization beamsplitter.
 13. A device, comprising: polarization beam splitter havingfirst, second, and third ports, said first port being supplied withsignal light including first and second polarization componentsrespectively having first and second polarization planes orthogonal toeach other, with pump light, said first and second ports being coupledby said first polarization plan, said first and third ports beingcoupled by said second polarization plane; and a polarizationmaintaining fiber having first and second ends, and having apolarization mode to be maintained between said first and second ends,said first end being optically connected to said second port so thatsaid first polarization plane is adapted to said polarization mode, saidsecond end being optically connected to said third port so that saidsecond polarization plane is adapted to said polarization mode; andwherein said polarization maintaining fiber has a substantially constantzero-dispersion wavelength in relation to said polarization mode, andsaid pump light has a wavelength substantially equal to saidzero-dispersion wavelength.
 14. A system comprising: first and secondoptical fiber networks each adapted to wavelength division multiplexing;and a converter connected between said first and second optical fibernetworks, said converter converting signal light into converted signallight by nonlinear optical effect based on said signal light and pumplight, wherein said converter comprises: a pumping source for outputtingpump light; an optical circulator having first, second, and third ports,said first port being supplied with signal light including first andsecond polarization components respectively having first and secondpolarization planes orthogonal to each other, and with said pump light;a polarization beam splitter having fourth, fifth, and sixth ports, saidfourth port being optically connected to said second port, said fourthand fifth ports being coupled by said first polarization plane, saidfourth and sixth ports being coupled by said second polarization plane;and a polarization maintaining fiber having first and second ends, andhaving a polarization mode to be maintained between said first andsecond ends, said first end being optically connected to said fifth portso that said first polarization plane is adapted to said polarizationmode, said second end being optically connected to said sixth port sothat said second polarization plane is adapted to said polarizationmode.
 15. A system according to claim 14, wherein said signal light isconverted into said converted signal light by a second-order or thirdorder nonlinear optical effect.
 16. A system according to claim 14,wherein said signal light is converted into said converted signal-lightby four-wave mixing based on said signal light and said pump light. 17.A system according to claim 14, wherein said converted signal light is aphase conjugate of said signal light.
 18. A system according to claim14, wherein said signal light is WDM signal light obtained by wavelengthdivision multiplexing a plurality of optical signals having differentwavelengths.
 19. A system according to claim 18, wherein the wavelengthsof said plurality of optical signals are arranged at unequal intervals.20. A system according to claim 14, wherein: said first optical fibernetwork includes a first fiber span for transmitting said signal light;and said second optical fiber network includes a second fiber spanfor-transmitting said converted signal light.
 21. A system according toclaim 20, wherein when each of said first and second fiber spans isvirtually divided into the same number of sections, the product of theaverage of chromatic dispersions of a first one of said sections of saidfirst fiber span and the length of said first one is substantially equalto the product of the average of chromatic dispersions of a second oneof said sections of said second fiber span and the length of said secondone, said first and second ones corresponding to each other in order ascounted from said converter, and the product of the average of opticalpowers in said first one, the average of nonlinear coefficients in saidfirst one, and the length of said first one is substantially equal tothe product of the average of optical powers in said second one, theaverage of nonlinear coefficients in said second one, and the length ofsaid second one.
 22. A system according to claim 20, wherein: the ratioof the product of an optical power and a nonlinear coefficient to achromatic dispersion at a first point on said first fiber span issubstantially equal to the ratio of the product of an optical power anda nonlinear coefficient to a chromatic dispersion at a second point onsaid second fiber span; an accumulated value of chromatic dispersionsmeasured from said converter to said first point being equal to anaccumulated value of chromatic dispersions measured from said converterto said second point.
 23. A system according to claim 20, wherein: theratio of the product of an optical power and a nonlinear coefficient toa chromatic dispersion at a first point on said first fiber span issubstantially equal to the ratio of the product of an optical power anda nonlinear coefficient to a chromatic dispersion at a second point onsaid second fiber span; an accumulated value of the products of opticalpowers and nonlinear coefficients measured from said converter to saidfirst point being equal to an accumulated value of the products ofoptical powers and nonlinear coefficients measured from said converterto said second point.
 24. A system according to claim 20, wherein theproduct of the average of chromatic dispersions of said first fiber spanand the length of said first fiber span is substantially equal to theproduct of the average of chromatic dispersions of said second fiberspan and the length of said second fiber span.
 25. A system according toclaim 20, wherein the product of the average of optical powers in saidfirst fiber span, the average of nonlinear coefficients in said firstfiber span, and the length of said first fiber span is substantiallyequal to the product of the average of optical powers in said secondfiber span, the average of nonlinear coefficients in said second fiberspan, and the length of said second fiber span.
 26. A device comprising:a polarization beam splitter having first, second, and third ports, saidfirst and second ports being coupled by a first polarization plane, saidfirst and third ports being coupled by a second polarization planeorthogonal to said first polarization plane; and a polarizationmaintaining fiber having first and second ends, the first end connectedto the second port and the second end connected to the third port, andhaving a polarization mode to be maintained between said first andsecond ends, said polarization maintaining fiber being supplied withsignal light including first and second polarization componentsrespectively having said first and second polarization planes, and withpump light; said signal light being converted into converted signallight by nonlinear optical effect based on said signal light and pumplight in said polarization maintaining fiber; wherein said polarizationmode to be maintained by said polarization maintaining fiber is given bya predetermined principal axis; said first polarization plane of saidsignal light in said second port includes said predeterminged principalaxis; and said second polarization plane of said signal light in saidthird port includes said predetermined principal axis.
 27. A systemcomprising: first and second optical fiber networks each adapted towavelength division multiplexing; and a converter connected between saidfirst and second optical fiber networks, said converter convertingsignal light into converted signal light by nonlinear optical effectbased on said signal light and pump light, wherein said signal light isWDM signal light obtained by wavelength division multiplexing aplurality of optical signals having different wavelengths and arrangedat unequal intervals, wherein a set of said first and second opticalfiber networks has normal or anomalous dispersion, a zero dispersionpoint of one of said first and second optical fiber networks is near awavelength of said pumping light, a zero dispersion point of the otherof said first and second optical networks is farther from the wavelengthof said pumpling light than the zero dispersion point of the one of saidfirst and second optical networks, and influences of dispersion aresubstantially equal between near center channels of said first andsecond optical fiber networks.
 28. A system comprising: first and secondoptical fiber networks each adapted to wavelength division multiplexingwherein: said first optical fiber network includes a first fiber spanfor transmitting said signal light; and said second optical fibernetwork includes a second fiber span for transmitting said convertedsignal light; and a converter connected between said first and secondoptical fiber networks, said converter converting signal light intoconverted signal light by nonlinear optical effect based on said signallight and pump light; wherein when each of said first and second fiberspans is virtually divided into the same number of sections, the productof the average of chromatic dispersions of a first one of said sectionsof said first fiber span and the length of said first one issubstantially equal to the product of the average of chromaticdispersions of a second one of said sections of said second fiber spanand the length of said second one, said first and second onescorresponding to each other in order as counted according to distancefrom said converter, and the product of the average of optical powers insaid first one, the average of nonlinear coefficients in said first one,and the length of said first one is substantially equal to the productof the average of optical powers in said second one, the average ofnonlinear coefficients in said second one, and the length of said secondone.
 29. A system comprising: first and second optical fiber networkseach adapted to wavelength division multiplexing wherein: said firstoptical fiber network includes a first fiber span for transmitting saidsignal light; and said second optical fiber network includes a secondfiber span for transmitting said converted signal light; and a converterconnected between said first and second optical fiber networks, saidconverter converting signal light into converted signal light bynonlinear optical effect based on said signal light and pump light;wherein: when each of said first and second fiber spans is virtuallydivided into the same number of a plurality of sections, the ratio ofthe product of an optical power and a nonlinear coefficient to achromatic dispersion at a first one of said plurality of said sectionsof said first fiber span is substantially equal to the ratio of theproduct of an average of the optical power and an average of a nonlinearcoefficient to a chromatic dispersion in a second one of said pluralityof said sections of said second fiber span; an accumulated value ofchromatic dispersions measured from said converter to said first pointbeing equal to an accumulated value of chromatic dispersions measuredfrom said converter to said second point on said second one; and saidfirst and second ones corresponding to each other in order as countedaccording to distance from said converter.
 30. A system comprising:first and second optical fiber networks each adapted to wavelengthdivision multiplexing wherein: said first optical fiber network includesa first fiber span for transmitting said signal light; and said secondoptical fiber network includes a second fiber span for transmitting saidconverted signal light; and a converter connected between said first andsecond optical fiber networks, said converter converting signal lightinto converted signal light by nonlinear optical effect based on saidsignal light and pump light; wherein: when each of said first and secondfiber spans is virtually divided into the same number of a plurality ofsections, the ratio of the product of an optical power and a nonlinearcoefficient to a chromatic dispersion at a first point on said first oneof said plurality of said sections of said first fiber span issubstantially equal to the ratio of the product of an optical power anda nonlinear coefficient to a chromatic dispersion at a second point on asecond one of said plurality of said sections of said second fiber span;an accumulated value of the products of optical powers and nonlinearcoefficients measured from said converter to said first point beingequal to an accumulated value of the products of optical powers andnonlinear coefficients measured from said converter to said second pointon said second one; and
 31. A system comprising: first and secondoptical fiber networks each adapted to wavelength division multiplexingwherein: said first optical fiber network includes a first fiber spanfor transmitting said signal light; and said second optical fibernetwork includes a second fiber span for transmitting said convertedsignal light; and a converter connected between said first and secondoptical fiber networks, said converter converting signal light intoconverted signal light by nonlinear optical effect based on said signallight and pump light; wherein when each of said first and second fiberspans is virtually divided into the same number of a plurality ofsections, the product of the average of chromatic dispersions of asecond one of said plurality of said sections of and the length of saidsecond one; and said first and second ones corresponding to each otherin order as counted according to distance from said converter.
 32. Asystem comprising: first and second optical fiber networks each adaptedto wavelength division multiplexing wherein: said first optical fibernetwork includes a first fiber span for transmitting said signal light;and said second optical fiber network includes a second fiber span fortransmitting said converted signal light; and a converter connectedbetween said first and second optical fiber networks, said converterconverting signal light into converted signal light by nonlinear opticaleffect based on said signal light and pump light; wherein when each ofsaid first and second fiber spans is virtually divided into the samenumber of a plurality of sections, the product of the average of opticalpowers in a first one of said plurality of said first fiber span, theaverage of nonlinear coefficients in said first one, and the length ofsaid first one is substantially equal to the product of the average ofoptical powers in said second one of said plurality of said sections ofsaid second first fiber, the average of nonlinear coefficients in saidsecond one, and the length of said second one; and said first and secondones corresponding to each other in order as counted according todistance from said converter.
 33. A device comprising: a polarizationbeam splitter having first, second, and third ports, said first portbeing supplied with signal light including first and second polarizationcomponents respectively having first and second polarization planesorthogonal to each other, and with pump light, said first and secondports being coupled by said first polarization plane, said first andthird ports being coupled by said second polarization plane; and apolarization maintaining fiber having first and second ends, and havinga polarization mode to be maintained between said first and second ends,said first end being optically connected to said second port so thatsaid first polarization plane is adapted to said polarization mode, saidsecond end being optically connected to said third port so that saidsecond polarization plane is adapted to said polarization mode; andwherein signal light having said first polarization plane inputted tosaid first port is outputted from said first and second end, the secondlight outputted from said second end is outputted from said first portthrough said polarization beam splitter, signal light having said secondpolarization plane inputted to said first port is outputted from saidfirst end, and the signal light outputted from said first end isoutputted from said first port through said polarization beam splitter.